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Finding the Fourth Proportional to 71,523.10, 98,701.96 and 39,691.98

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Solution

The fourth proportional to 71,523.10, 98,701.96 and 39,691.98 is: 54,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,523.10 : 98,701.96 = 39,691.98 : x
  2. Step 2: Convert to fraction form
    71,523.10/98,701.96 = 39,691.98/x
  3. Step 3: Cross multiply
    71,523.10x = 98,701.96 × 39,691.98
  4. Step 4: Simplify right side
    71,523.10x = 3,917,676,222.28
  5. Step 5: Solve for x
    x = 3,917,676,222.28/71,523.10
  6. Step 6: Final answer
    x = 54,774.98

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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.