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Finding the Fourth Proportional to 126,980.97, 175,251.59 and 78,598.41

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Solution

The fourth proportional to 126,980.97, 175,251.59 and 78,598.41 is: 108,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,980.97 : 175,251.59 = 78,598.41 : x
  2. Step 2: Convert to fraction form
    126,980.97/175,251.59 = 78,598.41/x
  3. Step 3: Cross multiply
    126,980.97x = 175,251.59 × 78,598.41
  4. Step 4: Simplify right side
    126,980.97x = 13,774,495,930.98
  5. Step 5: Solve for x
    x = 13,774,495,930.98/126,980.97
  6. Step 6: Final answer
    x = 108,476.85

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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.