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Finding the Fourth Proportional to 53,715.20, 80,572.80 and 47,724.80

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Solution

The fourth proportional to 53,715.20, 80,572.80 and 47,724.80 is: 71,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,715.20 : 80,572.80 = 47,724.80 : x
  2. Step 2: Convert to fraction form
    53,715.20/80,572.80 = 47,724.80/x
  3. Step 3: Cross multiply
    53,715.20x = 80,572.80 × 47,724.80
  4. Step 4: Simplify right side
    53,715.20x = 3,845,320,765.44
  5. Step 5: Solve for x
    x = 3,845,320,765.44/53,715.20
  6. Step 6: Final answer
    x = 71,587.20

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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.