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Finding the Fourth Proportional to 71,417.78, 107,101.98 and 29,285.90

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Solution

The fourth proportional to 71,417.78, 107,101.98 and 29,285.90 is: 43,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,417.78 : 107,101.98 = 29,285.90 : x
  2. Step 2: Convert to fraction form
    71,417.78/107,101.98 = 29,285.90/x
  3. Step 3: Cross multiply
    71,417.78x = 107,101.98 × 29,285.90
  4. Step 4: Simplify right side
    71,417.78x = 3,136,577,876.08
  5. Step 5: Solve for x
    x = 3,136,577,876.08/71,417.78
  6. Step 6: Final answer
    x = 43,918.73

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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.