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Finding the Fourth Proportional to 160,231.32, 239,996.70 and 81,209.88

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Solution

The fourth proportional to 160,231.32, 239,996.70 and 81,209.88 is: 121,637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,231.32 : 239,996.70 = 81,209.88 : x
  2. Step 2: Convert to fraction form
    160,231.32/239,996.70 = 81,209.88/x
  3. Step 3: Cross multiply
    160,231.32x = 239,996.70 × 81,209.88
  4. Step 4: Simplify right side
    160,231.32x = 19,490,103,207.40
  5. Step 5: Solve for x
    x = 19,490,103,207.40/160,231.32
  6. Step 6: Final answer
    x = 121,637.29

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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.