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Finding the Fourth Proportional to 137,082.72, 205,641 and 66,909

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Solution

The fourth proportional to 137,082.72, 205,641 and 66,909 is: 100,371.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,082.72 : 205,641 = 66,909 : x
  2. Step 2: Convert to fraction form
    137,082.72/205,641 = 66,909/x
  3. Step 3: Cross multiply
    137,082.72x = 205,641 × 66,909
  4. Step 4: Simplify right side
    137,082.72x = 13,759,233,669
  5. Step 5: Solve for x
    x = 13,759,233,669/137,082.72
  6. Step 6: Final answer
    x = 100,371.76

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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.