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Finding the Fourth Proportional to 159,824.80, 239,314.80 and 128,087.20

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Solution

The fourth proportional to 159,824.80, 239,314.80 and 128,087.20 is: 191,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,824.80 : 239,314.80 = 128,087.20 : x
  2. Step 2: Convert to fraction form
    159,824.80/239,314.80 = 128,087.20/x
  3. Step 3: Cross multiply
    159,824.80x = 239,314.80 × 128,087.20
  4. Step 4: Simplify right side
    159,824.80x = 30,653,162,650.56
  5. Step 5: Solve for x
    x = 30,653,162,650.56/159,824.80
  6. Step 6: Final answer
    x = 191,792.28

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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.