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Finding the Fourth Proportional to 135,668, 187,221.84 and 75,247.90

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Solution

The fourth proportional to 135,668, 187,221.84 and 75,247.90 is: 103,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,668 : 187,221.84 = 75,247.90 : x
  2. Step 2: Convert to fraction form
    135,668/187,221.84 = 75,247.90/x
  3. Step 3: Cross multiply
    135,668x = 187,221.84 × 75,247.90
  4. Step 4: Simplify right side
    135,668x = 14,088,049,358.03
  5. Step 5: Solve for x
    x = 14,088,049,358.03/135,668
  6. Step 6: Final answer
    x = 103,842.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.