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Finding the Fourth Proportional to 141,760.44, 195,638.24 and 78,098.20

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Solution

The fourth proportional to 141,760.44, 195,638.24 and 78,098.20 is: 107,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,760.44 : 195,638.24 = 78,098.20 : x
  2. Step 2: Convert to fraction form
    141,760.44/195,638.24 = 78,098.20/x
  3. Step 3: Cross multiply
    141,760.44x = 195,638.24 × 78,098.20
  4. Step 4: Simplify right side
    141,760.44x = 15,278,994,395.17
  5. Step 5: Solve for x
    x = 15,278,994,395.17/141,760.44
  6. Step 6: Final answer
    x = 107,780.38

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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.