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Finding the Fourth Proportional to 158,099.73, 218,116.35 and 100,728.78

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Solution

The fourth proportional to 158,099.73, 218,116.35 and 100,728.78 is: 138,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,099.73 : 218,116.35 = 100,728.78 : x
  2. Step 2: Convert to fraction form
    158,099.73/218,116.35 = 100,728.78/x
  3. Step 3: Cross multiply
    158,099.73x = 218,116.35 × 100,728.78
  4. Step 4: Simplify right side
    158,099.73x = 21,970,593,833.55
  5. Step 5: Solve for x
    x = 21,970,593,833.55/158,099.73
  6. Step 6: Final answer
    x = 138,966.68

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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.