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Finding the Fourth Proportional to 126,424.80, 174,571.20 and 84,175.20

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Solution

The fourth proportional to 126,424.80, 174,571.20 and 84,175.20 is: 116,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,424.80 : 174,571.20 = 84,175.20 : x
  2. Step 2: Convert to fraction form
    126,424.80/174,571.20 = 84,175.20/x
  3. Step 3: Cross multiply
    126,424.80x = 174,571.20 × 84,175.20
  4. Step 4: Simplify right side
    126,424.80x = 14,694,565,674.24
  5. Step 5: Solve for x
    x = 14,694,565,674.24/126,424.80
  6. Step 6: Final answer
    x = 116,231.67

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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.