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Finding the Fourth Proportional to 141,858.52, 195,764.57 and 78,197.38

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Solution

The fourth proportional to 141,858.52, 195,764.57 and 78,197.38 is: 107,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,858.52 : 195,764.57 = 78,197.38 : x
  2. Step 2: Convert to fraction form
    141,858.52/195,764.57 = 78,197.38/x
  3. Step 3: Cross multiply
    141,858.52x = 195,764.57 × 78,197.38
  4. Step 4: Simplify right side
    141,858.52x = 15,308,276,470.83
  5. Step 5: Solve for x
    x = 15,308,276,470.83/141,858.52
  6. Step 6: Final answer
    x = 107,912.28

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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.