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Finding the Fourth Proportional to 221,677.20, 332,564.40 and 109,411.20

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Solution

The fourth proportional to 221,677.20, 332,564.40 and 109,411.20 is: 164,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,677.20 : 332,564.40 = 109,411.20 : x
  2. Step 2: Convert to fraction form
    221,677.20/332,564.40 = 109,411.20/x
  3. Step 3: Cross multiply
    221,677.20x = 332,564.40 × 109,411.20
  4. Step 4: Simplify right side
    221,677.20x = 36,386,270,081.28
  5. Step 5: Solve for x
    x = 36,386,270,081.28/221,677.20
  6. Step 6: Final answer
    x = 164,140.79

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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.