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Finding the Fourth Proportional to 52,471.52, 78,715.02 and 18,734.91

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Solution

The fourth proportional to 52,471.52, 78,715.02 and 18,734.91 is: 28,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,471.52 : 78,715.02 = 18,734.91 : x
  2. Step 2: Convert to fraction form
    52,471.52/78,715.02 = 18,734.91/x
  3. Step 3: Cross multiply
    52,471.52x = 78,715.02 × 18,734.91
  4. Step 4: Simplify right side
    52,471.52x = 1,474,718,815.35
  5. Step 5: Solve for x
    x = 1,474,718,815.35/52,471.52
  6. Step 6: Final answer
    x = 28,105.13

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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.