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Finding the Fourth Proportional to 123,441.20, 185,161.80 and 108,666.80

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Solution

The fourth proportional to 123,441.20, 185,161.80 and 108,666.80 is: 163,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,441.20 : 185,161.80 = 108,666.80 : x
  2. Step 2: Convert to fraction form
    123,441.20/185,161.80 = 108,666.80/x
  3. Step 3: Cross multiply
    123,441.20x = 185,161.80 × 108,666.80
  4. Step 4: Simplify right side
    123,441.20x = 20,120,940,288.24
  5. Step 5: Solve for x
    x = 20,120,940,288.24/123,441.20
  6. Step 6: Final answer
    x = 163,000.20

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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.