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Finding the Fourth Proportional to 100,306.50, 138,422.97 and 55,594.50

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Solution

The fourth proportional to 100,306.50, 138,422.97 and 55,594.50 is: 76,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,306.50 : 138,422.97 = 55,594.50 : x
  2. Step 2: Convert to fraction form
    100,306.50/138,422.97 = 55,594.50/x
  3. Step 3: Cross multiply
    100,306.50x = 138,422.97 × 55,594.50
  4. Step 4: Simplify right side
    100,306.50x = 7,695,555,805.67
  5. Step 5: Solve for x
    x = 7,695,555,805.67/100,306.50
  6. Step 6: Final answer
    x = 76,720.41

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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.