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Finding the Fourth Proportional to 54,766.80, 82,142.10 and 15,327.90

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Solution

The fourth proportional to 54,766.80, 82,142.10 and 15,327.90 is: 22,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,766.80 : 82,142.10 = 15,327.90 : x
  2. Step 2: Convert to fraction form
    54,766.80/82,142.10 = 15,327.90/x
  3. Step 3: Cross multiply
    54,766.80x = 82,142.10 × 15,327.90
  4. Step 4: Simplify right side
    54,766.80x = 1,259,065,894.59
  5. Step 5: Solve for x
    x = 1,259,065,894.59/54,766.80
  6. Step 6: Final answer
    x = 22,989.58

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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.