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Finding the Fourth Proportional to 138,622.80, 207,789.48 and 100,580.16

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Solution

The fourth proportional to 138,622.80, 207,789.48 and 100,580.16 is: 150,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,622.80 : 207,789.48 = 100,580.16 : x
  2. Step 2: Convert to fraction form
    138,622.80/207,789.48 = 100,580.16/x
  3. Step 3: Cross multiply
    138,622.80x = 207,789.48 × 100,580.16
  4. Step 4: Simplify right side
    138,622.80x = 20,899,499,144.72
  5. Step 5: Solve for x
    x = 20,899,499,144.72/138,622.80
  6. Step 6: Final answer
    x = 150,765.24

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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.