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Finding the Fourth Proportional to 137,101.61, 205,569.39 and 89,659.44

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Solution

The fourth proportional to 137,101.61, 205,569.39 and 89,659.44 is: 134,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,101.61 : 205,569.39 = 89,659.44 : x
  2. Step 2: Convert to fraction form
    137,101.61/205,569.39 = 89,659.44/x
  3. Step 3: Cross multiply
    137,101.61x = 205,569.39 × 89,659.44
  4. Step 4: Simplify right side
    137,101.61x = 18,431,236,724.76
  5. Step 5: Solve for x
    x = 18,431,236,724.76/137,101.61
  6. Step 6: Final answer
    x = 134,434.86

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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.