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Finding the Fourth Proportional to 66,938.69, 100,408.36 and 22,565.81

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Solution

The fourth proportional to 66,938.69, 100,408.36 and 22,565.81 is: 33,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,938.69 : 100,408.36 = 22,565.81 : x
  2. Step 2: Convert to fraction form
    66,938.69/100,408.36 = 22,565.81/x
  3. Step 3: Cross multiply
    66,938.69x = 100,408.36 × 22,565.81
  4. Step 4: Simplify right side
    66,938.69x = 2,265,795,974.17
  5. Step 5: Solve for x
    x = 2,265,795,974.17/66,938.69
  6. Step 6: Final answer
    x = 33,848.82

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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.