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Finding the Fourth Proportional to 142,649.97, 196,854.56 and 78,986.40

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Solution

The fourth proportional to 142,649.97, 196,854.56 and 78,986.40 is: 108,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,649.97 : 196,854.56 = 78,986.40 : x
  2. Step 2: Convert to fraction form
    142,649.97/196,854.56 = 78,986.40/x
  3. Step 3: Cross multiply
    142,649.97x = 196,854.56 × 78,986.40
  4. Step 4: Simplify right side
    142,649.97x = 15,548,832,623.05
  5. Step 5: Solve for x
    x = 15,548,832,623.05/142,649.97
  6. Step 6: Final answer
    x = 108,999.90

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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.