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Finding the Fourth Proportional to 137,572.20, 206,358.30 and 120,076.20

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Solution

The fourth proportional to 137,572.20, 206,358.30 and 120,076.20 is: 180,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,572.20 : 206,358.30 = 120,076.20 : x
  2. Step 2: Convert to fraction form
    137,572.20/206,358.30 = 120,076.20/x
  3. Step 3: Cross multiply
    137,572.20x = 206,358.30 × 120,076.20
  4. Step 4: Simplify right side
    137,572.20x = 24,778,720,502.46
  5. Step 5: Solve for x
    x = 24,778,720,502.46/137,572.20
  6. Step 6: Final answer
    x = 180,114.30

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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.