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Finding the Fourth Proportional to 48,487.92, 72,723.64 and 13,419.38

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Solution

The fourth proportional to 48,487.92, 72,723.64 and 13,419.38 is: 20,126.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,487.92 : 72,723.64 = 13,419.38 : x
  2. Step 2: Convert to fraction form
    48,487.92/72,723.64 = 13,419.38/x
  3. Step 3: Cross multiply
    48,487.92x = 72,723.64 × 13,419.38
  4. Step 4: Simplify right side
    48,487.92x = 975,906,160.14
  5. Step 5: Solve for x
    x = 975,906,160.14/48,487.92
  6. Step 6: Final answer
    x = 20,126.79

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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.