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Finding the Fourth Proportional to 142,003.80, 195,963.96 and 78,342.12

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Solution

The fourth proportional to 142,003.80, 195,963.96 and 78,342.12 is: 108,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,003.80 : 195,963.96 = 78,342.12 : x
  2. Step 2: Convert to fraction form
    142,003.80/195,963.96 = 78,342.12/x
  3. Step 3: Cross multiply
    142,003.80x = 195,963.96 × 78,342.12
  4. Step 4: Simplify right side
    142,003.80x = 15,352,232,070.00
  5. Step 5: Solve for x
    x = 15,352,232,070.00/142,003.80
  6. Step 6: Final answer
    x = 108,111.42

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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.