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Finding the Fourth Proportional to 192,642.80, 288,964.20 and 133,545.20

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Solution

The fourth proportional to 192,642.80, 288,964.20 and 133,545.20 is: 200,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,642.80 : 288,964.20 = 133,545.20 : x
  2. Step 2: Convert to fraction form
    192,642.80/288,964.20 = 133,545.20/x
  3. Step 3: Cross multiply
    192,642.80x = 288,964.20 × 133,545.20
  4. Step 4: Simplify right side
    192,642.80x = 38,589,781,881.84
  5. Step 5: Solve for x
    x = 38,589,781,881.84/192,642.80
  6. Step 6: Final answer
    x = 200,317.80

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1.5x scale

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.