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Finding the Fourth Proportional to 68,691.72, 102,860.15 and 47,410.13

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Solution

The fourth proportional to 68,691.72, 102,860.15 and 47,410.13 is: 70,992.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,691.72 : 102,860.15 = 47,410.13 : x
  2. Step 2: Convert to fraction form
    68,691.72/102,860.15 = 47,410.13/x
  3. Step 3: Cross multiply
    68,691.72x = 102,860.15 × 47,410.13
  4. Step 4: Simplify right side
    68,691.72x = 4,876,612,331.97
  5. Step 5: Solve for x
    x = 4,876,612,331.97/68,691.72
  6. Step 6: Final answer
    x = 70,992.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.