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Finding the Fourth Proportional to 57,715.20, 86,572.80 and 29,721.60

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Solution

The fourth proportional to 57,715.20, 86,572.80 and 29,721.60 is: 44,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,715.20 : 86,572.80 = 29,721.60 : x
  2. Step 2: Convert to fraction form
    57,715.20/86,572.80 = 29,721.60/x
  3. Step 3: Cross multiply
    57,715.20x = 86,572.80 × 29,721.60
  4. Step 4: Simplify right side
    57,715.20x = 2,573,082,132.48
  5. Step 5: Solve for x
    x = 2,573,082,132.48/57,715.20
  6. Step 6: Final answer
    x = 44,582.40

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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.