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Finding the Fourth Proportional to 133,690.59, 200,400.86 and 83,805.65

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Solution

The fourth proportional to 133,690.59, 200,400.86 and 83,805.65 is: 125,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,690.59 : 200,400.86 = 83,805.65 : x
  2. Step 2: Convert to fraction form
    133,690.59/200,400.86 = 83,805.65/x
  3. Step 3: Cross multiply
    133,690.59x = 200,400.86 × 83,805.65
  4. Step 4: Simplify right side
    133,690.59x = 16,794,722,911.83
  5. Step 5: Solve for x
    x = 16,794,722,911.83/133,690.59
  6. Step 6: Final answer
    x = 125,623.82

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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.