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Finding the Fourth Proportional to 141,881.84, 195,793.44 and 78,218.36

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Solution

The fourth proportional to 141,881.84, 195,793.44 and 78,218.36 is: 107,939.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,881.84 : 195,793.44 = 78,218.36 : x
  2. Step 2: Convert to fraction form
    141,881.84/195,793.44 = 78,218.36/x
  3. Step 3: Cross multiply
    141,881.84x = 195,793.44 × 78,218.36
  4. Step 4: Simplify right side
    141,881.84x = 15,314,641,775.56
  5. Step 5: Solve for x
    x = 15,314,641,775.56/141,881.84
  6. Step 6: Final answer
    x = 107,939.41

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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.