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Finding the Fourth Proportional to 71,720.80, 107,566.80 and 34,280.80

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Solution

The fourth proportional to 71,720.80, 107,566.80 and 34,280.80 is: 51,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,720.80 : 107,566.80 = 34,280.80 : x
  2. Step 2: Convert to fraction form
    71,720.80/107,566.80 = 34,280.80/x
  3. Step 3: Cross multiply
    71,720.80x = 107,566.80 × 34,280.80
  4. Step 4: Simplify right side
    71,720.80x = 3,687,475,957.44
  5. Step 5: Solve for x
    x = 3,687,475,957.44/71,720.80
  6. Step 6: Final answer
    x = 51,414.32

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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.