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Finding the Fourth Proportional to 141,876.81, 195,791.52 and 78,216.90

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Solution

The fourth proportional to 141,876.81, 195,791.52 and 78,216.90 is: 107,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,876.81 : 195,791.52 = 78,216.90 : x
  2. Step 2: Convert to fraction form
    141,876.81/195,791.52 = 78,216.90/x
  3. Step 3: Cross multiply
    141,876.81x = 195,791.52 × 78,216.90
  4. Step 4: Simplify right side
    141,876.81x = 15,314,205,740.69
  5. Step 5: Solve for x
    x = 15,314,205,740.69/141,876.81
  6. Step 6: Final answer
    x = 107,940.16

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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.