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Finding the Fourth Proportional to 129,713.70, 194,462.55 and 54,891.30

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Solution

The fourth proportional to 129,713.70, 194,462.55 and 54,891.30 is: 82,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,713.70 : 194,462.55 = 54,891.30 : x
  2. Step 2: Convert to fraction form
    129,713.70/194,462.55 = 54,891.30/x
  3. Step 3: Cross multiply
    129,713.70x = 194,462.55 × 54,891.30
  4. Step 4: Simplify right side
    129,713.70x = 10,674,302,170.82
  5. Step 5: Solve for x
    x = 10,674,302,170.82/129,713.70
  6. Step 6: Final answer
    x = 82,291.25

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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.