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Finding the Fourth Proportional to 54,086, 81,132.68 and 16,643.76

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Solution

The fourth proportional to 54,086, 81,132.68 and 16,643.76 is: 24,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,086 : 81,132.68 = 16,643.76 : x
  2. Step 2: Convert to fraction form
    54,086/81,132.68 = 16,643.76/x
  3. Step 3: Cross multiply
    54,086x = 81,132.68 × 16,643.76
  4. Step 4: Simplify right side
    54,086x = 1,350,352,854.08
  5. Step 5: Solve for x
    x = 1,350,352,854.08/54,086
  6. Step 6: Final answer
    x = 24,966.77

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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.