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Finding the Fourth Proportional to 71,675.91, 98,915.04 and 42,985.71

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Solution

The fourth proportional to 71,675.91, 98,915.04 and 42,985.71 is: 59,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,675.91 : 98,915.04 = 42,985.71 : x
  2. Step 2: Convert to fraction form
    71,675.91/98,915.04 = 42,985.71/x
  3. Step 3: Cross multiply
    71,675.91x = 98,915.04 × 42,985.71
  4. Step 4: Simplify right side
    71,675.91x = 4,251,933,224.08
  5. Step 5: Solve for x
    x = 4,251,933,224.08/71,675.91
  6. Step 6: Final answer
    x = 59,321.65

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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.