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Finding the Fourth Proportional to 57,129.50, 78,789.76 and 34,463.53

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Solution

The fourth proportional to 57,129.50, 78,789.76 and 34,463.53 is: 47,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,129.50 : 78,789.76 = 34,463.53 : x
  2. Step 2: Convert to fraction form
    57,129.50/78,789.76 = 34,463.53/x
  3. Step 3: Cross multiply
    57,129.50x = 78,789.76 × 34,463.53
  4. Step 4: Simplify right side
    57,129.50x = 2,715,373,020.45
  5. Step 5: Solve for x
    x = 2,715,373,020.45/57,129.50
  6. Step 6: Final answer
    x = 47,530.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.