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Finding the Fourth Proportional to 133,342.20, 200,142.90 and 80,854.20

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Solution

The fourth proportional to 133,342.20, 200,142.90 and 80,854.20 is: 121,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,342.20 : 200,142.90 = 80,854.20 : x
  2. Step 2: Convert to fraction form
    133,342.20/200,142.90 = 80,854.20/x
  3. Step 3: Cross multiply
    133,342.20x = 200,142.90 × 80,854.20
  4. Step 4: Simplify right side
    133,342.20x = 16,182,394,065.18
  5. Step 5: Solve for x
    x = 16,182,394,065.18/133,342.20
  6. Step 6: Final answer
    x = 121,359.89

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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.