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Finding the Fourth Proportional to 126,175.71, 174,126.37 and 72,471.50

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Solution

The fourth proportional to 126,175.71, 174,126.37 and 72,471.50 is: 100,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,175.71 : 174,126.37 = 72,471.50 : x
  2. Step 2: Convert to fraction form
    126,175.71/174,126.37 = 72,471.50/x
  3. Step 3: Cross multiply
    126,175.71x = 174,126.37 × 72,471.50
  4. Step 4: Simplify right side
    126,175.71x = 12,619,199,223.46
  5. Step 5: Solve for x
    x = 12,619,199,223.46/126,175.71
  6. Step 6: Final answer
    x = 100,012.90

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1.5x scale

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.