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Finding the Fourth Proportional to 136,612.80, 204,919.20 and 83,468.70

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Solution

The fourth proportional to 136,612.80, 204,919.20 and 83,468.70 is: 125,203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,612.80 : 204,919.20 = 83,468.70 : x
  2. Step 2: Convert to fraction form
    136,612.80/204,919.20 = 83,468.70/x
  3. Step 3: Cross multiply
    136,612.80x = 204,919.20 × 83,468.70
  4. Step 4: Simplify right side
    136,612.80x = 17,104,339,229.04
  5. Step 5: Solve for x
    x = 17,104,339,229.04/136,612.80
  6. Step 6: Final answer
    x = 125,203.05

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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.