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Finding the Fourth Proportional to 141,855, 195,761.22 and 78,195.08

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Solution

The fourth proportional to 141,855, 195,761.22 and 78,195.08 is: 107,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,855 : 195,761.22 = 78,195.08 : x
  2. Step 2: Convert to fraction form
    141,855/195,761.22 = 78,195.08/x
  3. Step 3: Cross multiply
    141,855x = 195,761.22 × 78,195.08
  4. Step 4: Simplify right side
    141,855x = 15,307,564,258.80
  5. Step 5: Solve for x
    x = 15,307,564,258.80/141,855
  6. Step 6: Final answer
    x = 107,909.94

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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.