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Finding the Fourth Proportional to 126,478, 174,568.74 and 72,794.02

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Solution

The fourth proportional to 126,478, 174,568.74 and 72,794.02 is: 100,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,478 : 174,568.74 = 72,794.02 : x
  2. Step 2: Convert to fraction form
    126,478/174,568.74 = 72,794.02/x
  3. Step 3: Cross multiply
    126,478x = 174,568.74 × 72,794.02
  4. Step 4: Simplify right side
    126,478x = 12,707,560,350.93
  5. Step 5: Solve for x
    x = 12,707,560,350.93/126,478
  6. Step 6: Final answer
    x = 100,472.50

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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.