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Finding the Fourth Proportional to 82,059.36, 113,240.31 and 46,248.63

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Solution

The fourth proportional to 82,059.36, 113,240.31 and 46,248.63 is: 63,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,059.36 : 113,240.31 = 46,248.63 : x
  2. Step 2: Convert to fraction form
    82,059.36/113,240.31 = 46,248.63/x
  3. Step 3: Cross multiply
    82,059.36x = 113,240.31 × 46,248.63
  4. Step 4: Simplify right side
    82,059.36x = 5,237,209,198.28
  5. Step 5: Solve for x
    x = 5,237,209,198.28/82,059.36
  6. Step 6: Final answer
    x = 63,822.20

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Double scale
Find fourth proportional to 82,060.36, 113,241.69 and 46,249.63
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.