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Finding the Fourth Proportional to 126,412.80, 189,837.90 and 67,363.80

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Solution

The fourth proportional to 126,412.80, 189,837.90 and 67,363.80 is: 101,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,412.80 : 189,837.90 = 67,363.80 : x
  2. Step 2: Convert to fraction form
    126,412.80/189,837.90 = 67,363.80/x
  3. Step 3: Cross multiply
    126,412.80x = 189,837.90 × 67,363.80
  4. Step 4: Simplify right side
    126,412.80x = 12,788,202,328.02
  5. Step 5: Solve for x
    x = 12,788,202,328.02/126,412.80
  6. Step 6: Final answer
    x = 101,162.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.