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Finding the Fourth Proportional to 159,239.20, 238,858.80 and 109,472.80

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Solution

The fourth proportional to 159,239.20, 238,858.80 and 109,472.80 is: 164,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,239.20 : 238,858.80 = 109,472.80 : x
  2. Step 2: Convert to fraction form
    159,239.20/238,858.80 = 109,472.80/x
  3. Step 3: Cross multiply
    159,239.20x = 238,858.80 × 109,472.80
  4. Step 4: Simplify right side
    159,239.20x = 26,148,541,640.64
  5. Step 5: Solve for x
    x = 26,148,541,640.64/159,239.20
  6. Step 6: Final answer
    x = 164,209.20

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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.