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Finding the Fourth Proportional to 71,531.90, 98,725.74 and 39,711.08

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Solution

The fourth proportional to 71,531.90, 98,725.74 and 39,711.08 is: 54,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,531.90 : 98,725.74 = 39,711.08 : x
  2. Step 2: Convert to fraction form
    71,531.90/98,725.74 = 39,711.08/x
  3. Step 3: Cross multiply
    71,531.90x = 98,725.74 × 39,711.08
  4. Step 4: Simplify right side
    71,531.90x = 3,920,505,759.20
  5. Step 5: Solve for x
    x = 3,920,505,759.20/71,531.90
  6. Step 6: Final answer
    x = 54,807.80

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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.