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Finding the Fourth Proportional to 71,518.57, 107,312.70 and 29,411.30

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Solution

The fourth proportional to 71,518.57, 107,312.70 and 29,411.30 is: 44,131.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,518.57 : 107,312.70 = 29,411.30 : x
  2. Step 2: Convert to fraction form
    71,518.57/107,312.70 = 29,411.30/x
  3. Step 3: Cross multiply
    71,518.57x = 107,312.70 × 29,411.30
  4. Step 4: Simplify right side
    71,518.57x = 3,156,206,013.51
  5. Step 5: Solve for x
    x = 3,156,206,013.51/71,518.57
  6. Step 6: Final answer
    x = 44,131.28

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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.