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Finding the Fourth Proportional to 137,122.92, 205,790.94 and 89,725.14

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Solution

The fourth proportional to 137,122.92, 205,790.94 and 89,725.14 is: 134,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,122.92 : 205,790.94 = 89,725.14 : x
  2. Step 2: Convert to fraction form
    137,122.92/205,790.94 = 89,725.14/x
  3. Step 3: Cross multiply
    137,122.92x = 205,790.94 × 89,725.14
  4. Step 4: Simplify right side
    137,122.92x = 18,464,620,902.23
  5. Step 5: Solve for x
    x = 18,464,620,902.23/137,122.92
  6. Step 6: Final answer
    x = 134,657.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.