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Finding the Fourth Proportional to 126,878.55, 175,080.20 and 75,880.95

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Solution

The fourth proportional to 126,878.55, 175,080.20 and 75,880.95 is: 104,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,878.55 : 175,080.20 = 75,880.95 : x
  2. Step 2: Convert to fraction form
    126,878.55/175,080.20 = 75,880.95/x
  3. Step 3: Cross multiply
    126,878.55x = 175,080.20 × 75,880.95
  4. Step 4: Simplify right side
    126,878.55x = 13,285,251,522.79
  5. Step 5: Solve for x
    x = 13,285,251,522.79/126,878.55
  6. Step 6: Final answer
    x = 104,708.41

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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.