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Finding the Fourth Proportional to 126,761.60, 174,923.04 and 74,388.80

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Solution

The fourth proportional to 126,761.60, 174,923.04 and 74,388.80 is: 102,651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,761.60 : 174,923.04 = 74,388.80 : x
  2. Step 2: Convert to fraction form
    126,761.60/174,923.04 = 74,388.80/x
  3. Step 3: Cross multiply
    126,761.60x = 174,923.04 × 74,388.80
  4. Step 4: Simplify right side
    126,761.60x = 13,012,315,037.95
  5. Step 5: Solve for x
    x = 13,012,315,037.95/126,761.60
  6. Step 6: Final answer
    x = 102,651.87

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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.