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Finding the Fourth Proportional to 100,286.31, 138,394.04 and 54,966.81

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Solution

The fourth proportional to 100,286.31, 138,394.04 and 54,966.81 is: 75,853.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,286.31 : 138,394.04 = 54,966.81 : x
  2. Step 2: Convert to fraction form
    100,286.31/138,394.04 = 54,966.81/x
  3. Step 3: Cross multiply
    100,286.31x = 138,394.04 × 54,966.81
  4. Step 4: Simplify right side
    100,286.31x = 7,607,078,626.98
  5. Step 5: Solve for x
    x = 7,607,078,626.98/100,286.31
  6. Step 6: Final answer
    x = 75,853.61

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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.