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Finding the Fourth Proportional to 100,398.56, 138,694.16 and 80,228.96

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Solution

The fourth proportional to 100,398.56, 138,694.16 and 80,228.96 is: 110,831.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,398.56 : 138,694.16 = 80,228.96 : x
  2. Step 2: Convert to fraction form
    100,398.56/138,694.16 = 80,228.96/x
  3. Step 3: Cross multiply
    100,398.56x = 138,694.16 × 80,228.96
  4. Step 4: Simplify right side
    100,398.56x = 11,127,288,214.87
  5. Step 5: Solve for x
    x = 11,127,288,214.87/100,398.56
  6. Step 6: Final answer
    x = 110,831.15

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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.