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Finding the Fourth Proportional to 141,786, 195,664.68 and 78,123.78

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Solution

The fourth proportional to 141,786, 195,664.68 and 78,123.78 is: 107,810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,786 : 195,664.68 = 78,123.78 : x
  2. Step 2: Convert to fraction form
    141,786/195,664.68 = 78,123.78/x
  3. Step 3: Cross multiply
    141,786x = 195,664.68 × 78,123.78
  4. Step 4: Simplify right side
    141,786x = 15,286,064,414.09
  5. Step 5: Solve for x
    x = 15,286,064,414.09/141,786
  6. Step 6: Final answer
    x = 107,810.82

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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.