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Finding the Fourth Proportional to 138,002.10, 206,711.55 and 138,002.10

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Solution

The fourth proportional to 138,002.10, 206,711.55 and 138,002.10 is: 206,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,002.10 : 206,711.55 = 138,002.10 : x
  2. Step 2: Convert to fraction form
    138,002.10/206,711.55 = 138,002.10/x
  3. Step 3: Cross multiply
    138,002.10x = 206,711.55 × 138,002.10
  4. Step 4: Simplify right side
    138,002.10x = 28,526,627,994.26
  5. Step 5: Solve for x
    x = 28,526,627,994.26/138,002.10
  6. Step 6: Final answer
    x = 206,711.55

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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.