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Finding the Fourth Proportional to 141,809.96, 195,695.24 and 77,279.78

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Solution

The fourth proportional to 141,809.96, 195,695.24 and 77,279.78 is: 106,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,809.96 : 195,695.24 = 77,279.78 : x
  2. Step 2: Convert to fraction form
    141,809.96/195,695.24 = 77,279.78/x
  3. Step 3: Cross multiply
    141,809.96x = 195,695.24 × 77,279.78
  4. Step 4: Simplify right side
    141,809.96x = 15,123,283,729.37
  5. Step 5: Solve for x
    x = 15,123,283,729.37/141,809.96
  6. Step 6: Final answer
    x = 106,644.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.