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Finding the Fourth Proportional to 100,489.12, 150,733.86 and 75,214.96

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Solution

The fourth proportional to 100,489.12, 150,733.86 and 75,214.96 is: 112,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,489.12 : 150,733.86 = 75,214.96 : x
  2. Step 2: Convert to fraction form
    100,489.12/150,733.86 = 75,214.96/x
  3. Step 3: Cross multiply
    100,489.12x = 150,733.86 × 75,214.96
  4. Step 4: Simplify right side
    100,489.12x = 11,337,441,250.55
  5. Step 5: Solve for x
    x = 11,337,441,250.55/100,489.12
  6. Step 6: Final answer
    x = 112,822.57

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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.