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Finding the Fourth Proportional to 129,452.88, 194,179.32 and 74,010

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Solution

The fourth proportional to 129,452.88, 194,179.32 and 74,010 is: 111,015

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,452.88 : 194,179.32 = 74,010 : x
  2. Step 2: Convert to fraction form
    129,452.88/194,179.32 = 74,010/x
  3. Step 3: Cross multiply
    129,452.88x = 194,179.32 × 74,010
  4. Step 4: Simplify right side
    129,452.88x = 14,371,211,473.20
  5. Step 5: Solve for x
    x = 14,371,211,473.20/129,452.88
  6. Step 6: Final answer
    x = 111,015

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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.