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Finding the Fourth Proportional to 221,686.47, 332,662.19 and 81,459.27

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Solution

The fourth proportional to 221,686.47, 332,662.19 and 81,459.27 is: 122,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,686.47 : 332,662.19 = 81,459.27 : x
  2. Step 2: Convert to fraction form
    221,686.47/332,662.19 = 81,459.27/x
  3. Step 3: Cross multiply
    221,686.47x = 332,662.19 × 81,459.27
  4. Step 4: Simplify right side
    221,686.47x = 27,098,418,746.71
  5. Step 5: Solve for x
    x = 27,098,418,746.71/221,686.47
  6. Step 6: Final answer
    x = 122,237.59

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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.