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Finding the Fourth Proportional to 71,385.17, 107,078.49 and 29,254.43

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Solution

The fourth proportional to 71,385.17, 107,078.49 and 29,254.43 is: 43,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,385.17 : 107,078.49 = 29,254.43 : x
  2. Step 2: Convert to fraction form
    71,385.17/107,078.49 = 29,254.43/x
  3. Step 3: Cross multiply
    71,385.17x = 107,078.49 × 29,254.43
  4. Step 4: Simplify right side
    71,385.17x = 3,132,520,457.91
  5. Step 5: Solve for x
    x = 3,132,520,457.91/71,385.17
  6. Step 6: Final answer
    x = 43,881.95

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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.