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Finding the Fourth Proportional to 160,138.32, 239,857.56 and 81,116.88

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Solution

The fourth proportional to 160,138.32, 239,857.56 and 81,116.88 is: 121,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,138.32 : 239,857.56 = 81,116.88 : x
  2. Step 2: Convert to fraction form
    160,138.32/239,857.56 = 81,116.88/x
  3. Step 3: Cross multiply
    160,138.32x = 239,857.56 × 81,116.88
  4. Step 4: Simplify right side
    160,138.32x = 19,456,496,911.61
  5. Step 5: Solve for x
    x = 19,456,496,911.61/160,138.32
  6. Step 6: Final answer
    x = 121,498.07

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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.