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Finding the Fourth Proportional to 137,244.40, 205,815.40 and 54,121.20

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Solution

The fourth proportional to 137,244.40, 205,815.40 and 54,121.20 is: 81,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,244.40 : 205,815.40 = 54,121.20 : x
  2. Step 2: Convert to fraction form
    137,244.40/205,815.40 = 54,121.20/x
  3. Step 3: Cross multiply
    137,244.40x = 205,815.40 × 54,121.20
  4. Step 4: Simplify right side
    137,244.40x = 11,138,976,426.48
  5. Step 5: Solve for x
    x = 11,138,976,426.48/137,244.40
  6. Step 6: Final answer
    x = 81,161.61

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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.