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Finding the Fourth Proportional to 221,649.30, 332,966.04 and 137,471.68

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Solution

The fourth proportional to 221,649.30, 332,966.04 and 137,471.68 is: 206,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,649.30 : 332,966.04 = 137,471.68 : x
  2. Step 2: Convert to fraction form
    221,649.30/332,966.04 = 137,471.68/x
  3. Step 3: Cross multiply
    221,649.30x = 332,966.04 × 137,471.68
  4. Step 4: Simplify right side
    221,649.30x = 45,773,400,901.75
  5. Step 5: Solve for x
    x = 45,773,400,901.75/221,649.30
  6. Step 6: Final answer
    x = 206,512.72

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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.