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Finding the Fourth Proportional to 100,286.10, 138,393.97 and 54,963.16

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Solution

The fourth proportional to 100,286.10, 138,393.97 and 54,963.16 is: 75,848.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,286.10 : 138,393.97 = 54,963.16 : x
  2. Step 2: Convert to fraction form
    100,286.10/138,393.97 = 54,963.16/x
  3. Step 3: Cross multiply
    100,286.10x = 138,393.97 × 54,963.16
  4. Step 4: Simplify right side
    100,286.10x = 7,606,569,432.75
  5. Step 5: Solve for x
    x = 7,606,569,432.75/100,286.10
  6. Step 6: Final answer
    x = 75,848.69

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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.