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Finding the Fourth Proportional to 100,392, 138,540.96 and 55,680

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Solution

The fourth proportional to 100,392, 138,540.96 and 55,680 is: 76,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,392 : 138,540.96 = 55,680 : x
  2. Step 2: Convert to fraction form
    100,392/138,540.96 = 55,680/x
  3. Step 3: Cross multiply
    100,392x = 138,540.96 × 55,680
  4. Step 4: Simplify right side
    100,392x = 7,713,960,652.80
  5. Step 5: Solve for x
    x = 7,713,960,652.80/100,392
  6. Step 6: Final answer
    x = 76,838.40

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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.