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Finding the Fourth Proportional to 57,156.57, 85,740.57 and 19,711.71

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Solution

The fourth proportional to 57,156.57, 85,740.57 and 19,711.71 is: 29,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,156.57 : 85,740.57 = 19,711.71 : x
  2. Step 2: Convert to fraction form
    57,156.57/85,740.57 = 19,711.71/x
  3. Step 3: Cross multiply
    57,156.57x = 85,740.57 × 19,711.71
  4. Step 4: Simplify right side
    57,156.57x = 1,690,093,251.07
  5. Step 5: Solve for x
    x = 1,690,093,251.07/57,156.57
  6. Step 6: Final answer
    x = 29,569.54

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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.