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Finding the Fourth Proportional to 57,429.87, 86,146.43 and 15,876.87

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Solution

The fourth proportional to 57,429.87, 86,146.43 and 15,876.87 is: 23,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,429.87 : 86,146.43 = 15,876.87 : x
  2. Step 2: Convert to fraction form
    57,429.87/86,146.43 = 15,876.87/x
  3. Step 3: Cross multiply
    57,429.87x = 86,146.43 × 15,876.87
  4. Step 4: Simplify right side
    57,429.87x = 1,367,735,590.69
  5. Step 5: Solve for x
    x = 1,367,735,590.69/57,429.87
  6. Step 6: Final answer
    x = 23,815.75

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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.