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Finding the Fourth Proportional to 83,415.44, 115,111.88 and 45,174.68

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Solution

The fourth proportional to 83,415.44, 115,111.88 and 45,174.68 is: 62,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,415.44 : 115,111.88 = 45,174.68 : x
  2. Step 2: Convert to fraction form
    83,415.44/115,111.88 = 45,174.68/x
  3. Step 3: Cross multiply
    83,415.44x = 115,111.88 × 45,174.68
  4. Step 4: Simplify right side
    83,415.44x = 5,200,141,880.58
  5. Step 5: Solve for x
    x = 5,200,141,880.58/83,415.44
  6. Step 6: Final answer
    x = 62,340.28

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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.