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Finding the Fourth Proportional to 100,713.38, 138,985.61 and 55,392.10

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Solution

The fourth proportional to 100,713.38, 138,985.61 and 55,392.10 is: 76,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,713.38 : 138,985.61 = 55,392.10 : x
  2. Step 2: Convert to fraction form
    100,713.38/138,985.61 = 55,392.10/x
  3. Step 3: Cross multiply
    100,713.38x = 138,985.61 × 55,392.10
  4. Step 4: Simplify right side
    100,713.38x = 7,698,705,198.74
  5. Step 5: Solve for x
    x = 7,698,705,198.74/100,713.38
  6. Step 6: Final answer
    x = 76,441.74

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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.