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Finding the Fourth Proportional to 221,646.31, 332,961.54 and 137,468.68

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Solution

The fourth proportional to 221,646.31, 332,961.54 and 137,468.68 is: 206,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,646.31 : 332,961.54 = 137,468.68 : x
  2. Step 2: Convert to fraction form
    221,646.31/332,961.54 = 137,468.68/x
  3. Step 3: Cross multiply
    221,646.31x = 332,961.54 × 137,468.68
  4. Step 4: Simplify right side
    221,646.31x = 45,771,782,046.66
  5. Step 5: Solve for x
    x = 45,771,782,046.66/221,646.31
  6. Step 6: Final answer
    x = 206,508.21

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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.