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Finding the Fourth Proportional to 121,908.80, 182,863.20 and 120,159.20

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Solution

The fourth proportional to 121,908.80, 182,863.20 and 120,159.20 is: 180,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,908.80 : 182,863.20 = 120,159.20 : x
  2. Step 2: Convert to fraction form
    121,908.80/182,863.20 = 120,159.20/x
  3. Step 3: Cross multiply
    121,908.80x = 182,863.20 × 120,159.20
  4. Step 4: Simplify right side
    121,908.80x = 21,972,695,821.44
  5. Step 5: Solve for x
    x = 21,972,695,821.44/121,908.80
  6. Step 6: Final answer
    x = 180,238.80

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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.