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Finding the Fourth Proportional to 129,752.89, 194,649.38 and 54,873.45

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Solution

The fourth proportional to 129,752.89, 194,649.38 and 54,873.45 is: 82,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,752.89 : 194,649.38 = 54,873.45 : x
  2. Step 2: Convert to fraction form
    129,752.89/194,649.38 = 54,873.45/x
  3. Step 3: Cross multiply
    129,752.89x = 194,649.38 × 54,873.45
  4. Step 4: Simplify right side
    129,752.89x = 10,681,082,952.37
  5. Step 5: Solve for x
    x = 10,681,082,952.37/129,752.89
  6. Step 6: Final answer
    x = 82,318.65

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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.