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Finding the Fourth Proportional to 129,034.88, 193,552.31 and 75,808.16

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Solution

The fourth proportional to 129,034.88, 193,552.31 and 75,808.16 is: 113,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,034.88 : 193,552.31 = 75,808.16 : x
  2. Step 2: Convert to fraction form
    129,034.88/193,552.31 = 75,808.16/x
  3. Step 3: Cross multiply
    129,034.88x = 193,552.31 × 75,808.16
  4. Step 4: Simplify right side
    129,034.88x = 14,672,843,138.05
  5. Step 5: Solve for x
    x = 14,672,843,138.05/129,034.88
  6. Step 6: Final answer
    x = 113,712.23

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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.