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Finding the Fourth Proportional to 160,042.20, 240,213.92 and 81,213

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Solution

The fourth proportional to 160,042.20, 240,213.92 and 81,213 is: 121,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,042.20 : 240,213.92 = 81,213 : x
  2. Step 2: Convert to fraction form
    160,042.20/240,213.92 = 81,213/x
  3. Step 3: Cross multiply
    160,042.20x = 240,213.92 × 81,213
  4. Step 4: Simplify right side
    160,042.20x = 19,508,493,084.96
  5. Step 5: Solve for x
    x = 19,508,493,084.96/160,042.20
  6. Step 6: Final answer
    x = 121,895.93

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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.