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Finding the Fourth Proportional to 159,548.80, 239,323.20 and 137,387.20

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Solution

The fourth proportional to 159,548.80, 239,323.20 and 137,387.20 is: 206,080.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,548.80 : 239,323.20 = 137,387.20 : x
  2. Step 2: Convert to fraction form
    159,548.80/239,323.20 = 137,387.20/x
  3. Step 3: Cross multiply
    159,548.80x = 239,323.20 × 137,387.20
  4. Step 4: Simplify right side
    159,548.80x = 32,879,944,343.04
  5. Step 5: Solve for x
    x = 32,879,944,343.04/159,548.80
  6. Step 6: Final answer
    x = 206,080.80

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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.