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Finding the Fourth Proportional to 138,602, 207,915.96 and 45,082.64

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Solution

The fourth proportional to 138,602, 207,915.96 and 45,082.64 is: 67,628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,602 : 207,915.96 = 45,082.64 : x
  2. Step 2: Convert to fraction form
    138,602/207,915.96 = 45,082.64/x
  3. Step 3: Cross multiply
    138,602x = 207,915.96 × 45,082.64
  4. Step 4: Simplify right side
    138,602x = 9,373,400,374.93
  5. Step 5: Solve for x
    x = 9,373,400,374.93/138,602
  6. Step 6: Final answer
    x = 67,628.18

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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.