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Finding the Fourth Proportional to 137,238.40, 205,867.20 and 54,121.60

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Solution

The fourth proportional to 137,238.40, 205,867.20 and 54,121.60 is: 81,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,238.40 : 205,867.20 = 54,121.60 : x
  2. Step 2: Convert to fraction form
    137,238.40/205,867.20 = 54,121.60/x
  3. Step 3: Cross multiply
    137,238.40x = 205,867.20 × 54,121.60
  4. Step 4: Simplify right side
    137,238.40x = 11,141,862,251.52
  5. Step 5: Solve for x
    x = 11,141,862,251.52/137,238.40
  6. Step 6: Final answer
    x = 81,186.19

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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.