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Finding the Fourth Proportional to 221,065.92, 331,529.76 and 96,281.28

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Solution

The fourth proportional to 221,065.92, 331,529.76 and 96,281.28 is: 144,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,065.92 : 331,529.76 = 96,281.28 : x
  2. Step 2: Convert to fraction form
    221,065.92/331,529.76 = 96,281.28/x
  3. Step 3: Cross multiply
    221,065.92x = 331,529.76 × 96,281.28
  4. Step 4: Simplify right side
    221,065.92x = 31,920,109,650.89
  5. Step 5: Solve for x
    x = 31,920,109,650.89/221,065.92
  6. Step 6: Final answer
    x = 144,391.82

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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.