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Finding the Fourth Proportional to 137,125.92, 205,805.28 and 54,078.24

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Solution

The fourth proportional to 137,125.92, 205,805.28 and 54,078.24 is: 81,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,125.92 : 205,805.28 = 54,078.24 : x
  2. Step 2: Convert to fraction form
    137,125.92/205,805.28 = 54,078.24/x
  3. Step 3: Cross multiply
    137,125.92x = 205,805.28 × 54,078.24
  4. Step 4: Simplify right side
    137,125.92x = 11,129,587,325.11
  5. Step 5: Solve for x
    x = 11,129,587,325.11/137,125.92
  6. Step 6: Final answer
    x = 81,163.26

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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.