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Finding the Fourth Proportional to 71,640.80, 107,461.20 and 36,211.40

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Solution

The fourth proportional to 71,640.80, 107,461.20 and 36,211.40 is: 54,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,640.80 : 107,461.20 = 36,211.40 : x
  2. Step 2: Convert to fraction form
    71,640.80/107,461.20 = 36,211.40/x
  3. Step 3: Cross multiply
    71,640.80x = 107,461.20 × 36,211.40
  4. Step 4: Simplify right side
    71,640.80x = 3,891,320,497.68
  5. Step 5: Solve for x
    x = 3,891,320,497.68/71,640.80
  6. Step 6: Final answer
    x = 54,317.10

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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.