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Finding the Fourth Proportional to 48,419.87, 72,631.86 and 15,140.56

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Solution

The fourth proportional to 48,419.87, 72,631.86 and 15,140.56 is: 22,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,419.87 : 72,631.86 = 15,140.56 : x
  2. Step 2: Convert to fraction form
    48,419.87/72,631.86 = 15,140.56/x
  3. Step 3: Cross multiply
    48,419.87x = 72,631.86 × 15,140.56
  4. Step 4: Simplify right side
    48,419.87x = 1,099,687,034.24
  5. Step 5: Solve for x
    x = 1,099,687,034.24/48,419.87
  6. Step 6: Final answer
    x = 22,711.48

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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.