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Finding the Fourth Proportional to 159,540.80, 239,311.20 and 130,016.30

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Solution

The fourth proportional to 159,540.80, 239,311.20 and 130,016.30 is: 195,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,540.80 : 239,311.20 = 130,016.30 : x
  2. Step 2: Convert to fraction form
    159,540.80/239,311.20 = 130,016.30/x
  3. Step 3: Cross multiply
    159,540.80x = 239,311.20 × 130,016.30
  4. Step 4: Simplify right side
    159,540.80x = 31,114,356,772.56
  5. Step 5: Solve for x
    x = 31,114,356,772.56/159,540.80
  6. Step 6: Final answer
    x = 195,024.45

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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.