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Finding the Fourth Proportional to 133,087.80, 199,631.70 and 119,965.80

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Solution

The fourth proportional to 133,087.80, 199,631.70 and 119,965.80 is: 179,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,087.80 : 199,631.70 = 119,965.80 : x
  2. Step 2: Convert to fraction form
    133,087.80/199,631.70 = 119,965.80/x
  3. Step 3: Cross multiply
    133,087.80x = 199,631.70 × 119,965.80
  4. Step 4: Simplify right side
    133,087.80x = 23,948,976,595.86
  5. Step 5: Solve for x
    x = 23,948,976,595.86/133,087.80
  6. Step 6: Final answer
    x = 179,948.70

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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.