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Finding the Fourth Proportional to 138,001.80, 207,002.70 and 120,505.80

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Solution

The fourth proportional to 138,001.80, 207,002.70 and 120,505.80 is: 180,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,001.80 : 207,002.70 = 120,505.80 : x
  2. Step 2: Convert to fraction form
    138,001.80/207,002.70 = 120,505.80/x
  3. Step 3: Cross multiply
    138,001.80x = 207,002.70 × 120,505.80
  4. Step 4: Simplify right side
    138,001.80x = 24,945,025,965.66
  5. Step 5: Solve for x
    x = 24,945,025,965.66/138,001.80
  6. Step 6: Final answer
    x = 180,758.70

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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.