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Finding the Fourth Proportional to 221,565.92, 305,759.41 and 120,963.92

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Solution

The fourth proportional to 221,565.92, 305,759.41 and 120,963.92 is: 166,929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,565.92 : 305,759.41 = 120,963.92 : x
  2. Step 2: Convert to fraction form
    221,565.92/305,759.41 = 120,963.92/x
  3. Step 3: Cross multiply
    221,565.92x = 305,759.41 × 120,963.92
  4. Step 4: Simplify right side
    221,565.92x = 36,985,854,979.28
  5. Step 5: Solve for x
    x = 36,985,854,979.28/221,565.92
  6. Step 6: Final answer
    x = 166,929.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.