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Finding the Fourth Proportional to 100,299.28, 138,411.12 and 54,976

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Solution

The fourth proportional to 100,299.28, 138,411.12 and 54,976 is: 75,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,299.28 : 138,411.12 = 54,976 : x
  2. Step 2: Convert to fraction form
    100,299.28/138,411.12 = 54,976/x
  3. Step 3: Cross multiply
    100,299.28x = 138,411.12 × 54,976
  4. Step 4: Simplify right side
    100,299.28x = 7,609,289,733.12
  5. Step 5: Solve for x
    x = 7,609,289,733.12/100,299.28
  6. Step 6: Final answer
    x = 75,865.85

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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.