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Finding the Fourth Proportional to 221,681.97, 332,655.44 and 81,454.77

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Solution

The fourth proportional to 221,681.97, 332,655.44 and 81,454.77 is: 122,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,681.97 : 332,655.44 = 81,454.77 : x
  2. Step 2: Convert to fraction form
    221,681.97/332,655.44 = 81,454.77/x
  3. Step 3: Cross multiply
    221,681.97x = 332,655.44 × 81,454.77
  4. Step 4: Simplify right side
    221,681.97x = 27,096,371,947.18
  5. Step 5: Solve for x
    x = 27,096,371,947.18/221,681.97
  6. Step 6: Final answer
    x = 122,230.83

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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.