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Finding the Fourth Proportional to 221,643.54, 332,498.12 and 81,391.23

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Solution

The fourth proportional to 221,643.54, 332,498.12 and 81,391.23 is: 122,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,643.54 : 332,498.12 = 81,391.23 : x
  2. Step 2: Convert to fraction form
    221,643.54/332,498.12 = 81,391.23/x
  3. Step 3: Cross multiply
    221,643.54x = 332,498.12 × 81,391.23
  4. Step 4: Simplify right side
    221,643.54x = 27,062,430,552.53
  5. Step 5: Solve for x
    x = 27,062,430,552.53/221,643.54
  6. Step 6: Final answer
    x = 122,098.89

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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.