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Finding the Fourth Proportional to 66,938.78, 100,408.18 and 22,561.83

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Solution

The fourth proportional to 66,938.78, 100,408.18 and 22,561.83 is: 33,842.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,938.78 : 100,408.18 = 22,561.83 : x
  2. Step 2: Convert to fraction form
    66,938.78/100,408.18 = 22,561.83/x
  3. Step 3: Cross multiply
    66,938.78x = 100,408.18 × 22,561.83
  4. Step 4: Simplify right side
    66,938.78x = 2,265,392,287.77
  5. Step 5: Solve for x
    x = 2,265,392,287.77/66,938.78
  6. Step 6: Final answer
    x = 33,842.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.