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Finding the Fourth Proportional to 74,104.84, 111,072.78 and 38,465.80

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Solution

The fourth proportional to 74,104.84, 111,072.78 and 38,465.80 is: 57,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,104.84 : 111,072.78 = 38,465.80 : x
  2. Step 2: Convert to fraction form
    74,104.84/111,072.78 = 38,465.80/x
  3. Step 3: Cross multiply
    74,104.84x = 111,072.78 × 38,465.80
  4. Step 4: Simplify right side
    74,104.84x = 4,272,503,340.92
  5. Step 5: Solve for x
    x = 4,272,503,340.92/74,104.84
  6. Step 6: Final answer
    x = 57,654.85

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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.