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Finding the Fourth Proportional to 57,456.68, 86,265.78 and 29,396.87

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Solution

The fourth proportional to 57,456.68, 86,265.78 and 29,396.87 is: 44,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,456.68 : 86,265.78 = 29,396.87 : x
  2. Step 2: Convert to fraction form
    57,456.68/86,265.78 = 29,396.87/x
  3. Step 3: Cross multiply
    57,456.68x = 86,265.78 × 29,396.87
  4. Step 4: Simplify right side
    57,456.68x = 2,535,943,707.45
  5. Step 5: Solve for x
    x = 2,535,943,707.45/57,456.68
  6. Step 6: Final answer
    x = 44,136.62

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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.