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Finding the Fourth Proportional to 82,189.63, 113,420.58 and 45,891.64

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Solution

The fourth proportional to 82,189.63, 113,420.58 and 45,891.64 is: 63,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,189.63 : 113,420.58 = 45,891.64 : x
  2. Step 2: Convert to fraction form
    82,189.63/113,420.58 = 45,891.64/x
  3. Step 3: Cross multiply
    82,189.63x = 113,420.58 × 45,891.64
  4. Step 4: Simplify right side
    82,189.63x = 5,205,056,425.95
  5. Step 5: Solve for x
    x = 5,205,056,425.95/82,189.63
  6. Step 6: Final answer
    x = 63,329.84

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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.