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Finding the Fourth Proportional to 141,902.76, 195,822.06 and 78,239.48

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Solution

The fourth proportional to 141,902.76, 195,822.06 and 78,239.48 is: 107,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,902.76 : 195,822.06 = 78,239.48 : x
  2. Step 2: Convert to fraction form
    141,902.76/195,822.06 = 78,239.48/x
  3. Step 3: Cross multiply
    141,902.76x = 195,822.06 × 78,239.48
  4. Step 4: Simplify right side
    141,902.76x = 15,321,016,146.93
  5. Step 5: Solve for x
    x = 15,321,016,146.93/141,902.76
  6. Step 6: Final answer
    x = 107,968.42

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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.