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Finding the Fourth Proportional to 141,841.68, 195,742.42 and 78,179.48

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Solution

The fourth proportional to 141,841.68, 195,742.42 and 78,179.48 is: 107,888.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,841.68 : 195,742.42 = 78,179.48 : x
  2. Step 2: Convert to fraction form
    141,841.68/195,742.42 = 78,179.48/x
  3. Step 3: Cross multiply
    141,841.68x = 195,742.42 × 78,179.48
  4. Step 4: Simplify right side
    141,841.68x = 15,303,040,609.17
  5. Step 5: Solve for x
    x = 15,303,040,609.17/141,841.68
  6. Step 6: Final answer
    x = 107,888.18

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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.