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Finding the Fourth Proportional to 129,638.10, 194,129.10 and 123,733.20

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Solution

The fourth proportional to 129,638.10, 194,129.10 and 123,733.20 is: 185,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,638.10 : 194,129.10 = 123,733.20 : x
  2. Step 2: Convert to fraction form
    129,638.10/194,129.10 = 123,733.20/x
  3. Step 3: Cross multiply
    129,638.10x = 194,129.10 × 123,733.20
  4. Step 4: Simplify right side
    129,638.10x = 24,020,214,756.12
  5. Step 5: Solve for x
    x = 24,020,214,756.12/129,638.10
  6. Step 6: Final answer
    x = 185,286.69

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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.