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Finding the Fourth Proportional to 129,758.40, 194,407.20 and 80,452.80

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Solution

The fourth proportional to 129,758.40, 194,407.20 and 80,452.80 is: 120,536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,758.40 : 194,407.20 = 80,452.80 : x
  2. Step 2: Convert to fraction form
    129,758.40/194,407.20 = 80,452.80/x
  3. Step 3: Cross multiply
    129,758.40x = 194,407.20 × 80,452.80
  4. Step 4: Simplify right side
    129,758.40x = 15,640,603,580.16
  5. Step 5: Solve for x
    x = 15,640,603,580.16/129,758.40
  6. Step 6: Final answer
    x = 120,536.35

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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.