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Finding the Fourth Proportional to 57,429.54, 86,319.99 and 47,631.78

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Solution

The fourth proportional to 57,429.54, 86,319.99 and 47,631.78 is: 71,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,429.54 : 86,319.99 = 47,631.78 : x
  2. Step 2: Convert to fraction form
    57,429.54/86,319.99 = 47,631.78/x
  3. Step 3: Cross multiply
    57,429.54x = 86,319.99 × 47,631.78
  4. Step 4: Simplify right side
    57,429.54x = 4,111,574,773.28
  5. Step 5: Solve for x
    x = 4,111,574,773.28/57,429.54
  6. Step 6: Final answer
    x = 71,593.38

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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.