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Finding the Fourth Proportional to 149,209.98, 223,814.97 and 140,086.14

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Solution

The fourth proportional to 149,209.98, 223,814.97 and 140,086.14 is: 210,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,209.98 : 223,814.97 = 140,086.14 : x
  2. Step 2: Convert to fraction form
    149,209.98/223,814.97 = 140,086.14/x
  3. Step 3: Cross multiply
    149,209.98x = 223,814.97 × 140,086.14
  4. Step 4: Simplify right side
    149,209.98x = 31,353,375,221.52
  5. Step 5: Solve for x
    x = 31,353,375,221.52/149,209.98
  6. Step 6: Final answer
    x = 210,129.21

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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.