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Finding the Fourth Proportional to 159,850.71, 239,468.31 and 99,902.61

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Solution

The fourth proportional to 159,850.71, 239,468.31 and 99,902.61 is: 149,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,850.71 : 239,468.31 = 99,902.61 : x
  2. Step 2: Convert to fraction form
    159,850.71/239,468.31 = 99,902.61/x
  3. Step 3: Cross multiply
    159,850.71x = 239,468.31 × 99,902.61
  4. Step 4: Simplify right side
    159,850.71x = 23,923,509,181.29
  5. Step 5: Solve for x
    x = 23,923,509,181.29/159,850.71
  6. Step 6: Final answer
    x = 149,661.58

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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.