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Finding the Fourth Proportional to 159,814.80, 239,869.44 and 80,984.16

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Solution

The fourth proportional to 159,814.80, 239,869.44 and 80,984.16 is: 121,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,814.80 : 239,869.44 = 80,984.16 : x
  2. Step 2: Convert to fraction form
    159,814.80/239,869.44 = 80,984.16/x
  3. Step 3: Cross multiply
    159,814.80x = 239,869.44 × 80,984.16
  4. Step 4: Simplify right side
    159,814.80x = 19,425,625,108.07
  5. Step 5: Solve for x
    x = 19,425,625,108.07/159,814.80
  6. Step 6: Final answer
    x = 121,550.85

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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.