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Finding the Fourth Proportional to 159,756.20, 239,828.70 and 80,829.80

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Solution

The fourth proportional to 159,756.20, 239,828.70 and 80,829.80 is: 121,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,756.20 : 239,828.70 = 80,829.80 : x
  2. Step 2: Convert to fraction form
    159,756.20/239,828.70 = 80,829.80/x
  3. Step 3: Cross multiply
    159,756.20x = 239,828.70 × 80,829.80
  4. Step 4: Simplify right side
    159,756.20x = 19,385,305,855.26
  5. Step 5: Solve for x
    x = 19,385,305,855.26/159,756.20
  6. Step 6: Final answer
    x = 121,343.06

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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.