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Finding the Fourth Proportional to 129,879.56, 194,840.76 and 45,617.78

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Solution

The fourth proportional to 129,879.56, 194,840.76 and 45,617.78 is: 68,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,879.56 : 194,840.76 = 45,617.78 : x
  2. Step 2: Convert to fraction form
    129,879.56/194,840.76 = 45,617.78/x
  3. Step 3: Cross multiply
    129,879.56x = 194,840.76 × 45,617.78
  4. Step 4: Simplify right side
    129,879.56x = 8,888,202,924.71
  5. Step 5: Solve for x
    x = 8,888,202,924.71/129,879.56
  6. Step 6: Final answer
    x = 68,434.19

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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.