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Finding the Fourth Proportional to 82,135.61, 123,218.61 and 25,989.85

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Solution

The fourth proportional to 82,135.61, 123,218.61 and 25,989.85 is: 38,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,135.61 : 123,218.61 = 25,989.85 : x
  2. Step 2: Convert to fraction form
    82,135.61/123,218.61 = 25,989.85/x
  3. Step 3: Cross multiply
    82,135.61x = 123,218.61 × 25,989.85
  4. Step 4: Simplify right side
    82,135.61x = 3,202,433,191.11
  5. Step 5: Solve for x
    x = 3,202,433,191.11/82,135.61
  6. Step 6: Final answer
    x = 38,989.58

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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.