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Finding the Fourth Proportional to 159,721.60, 239,323.20 and 100,451.20

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Solution

The fourth proportional to 159,721.60, 239,323.20 and 100,451.20 is: 150,513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,721.60 : 239,323.20 = 100,451.20 : x
  2. Step 2: Convert to fraction form
    159,721.60/239,323.20 = 100,451.20/x
  3. Step 3: Cross multiply
    159,721.60x = 239,323.20 × 100,451.20
  4. Step 4: Simplify right side
    159,721.60x = 24,040,302,627.84
  5. Step 5: Solve for x
    x = 24,040,302,627.84/159,721.60
  6. Step 6: Final answer
    x = 150,513.79

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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.