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Finding the Fourth Proportional to 138,150.20, 206,879.70 and 110,502.20

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Solution

The fourth proportional to 138,150.20, 206,879.70 and 110,502.20 is: 165,476.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,150.20 : 206,879.70 = 110,502.20 : x
  2. Step 2: Convert to fraction form
    138,150.20/206,879.70 = 110,502.20/x
  3. Step 3: Cross multiply
    138,150.20x = 206,879.70 × 110,502.20
  4. Step 4: Simplify right side
    138,150.20x = 22,860,661,985.34
  5. Step 5: Solve for x
    x = 22,860,661,985.34/138,150.20
  6. Step 6: Final answer
    x = 165,476.86

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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.