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Finding the Fourth Proportional to 74,642, 111,963.96 and 25,394

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Solution

The fourth proportional to 74,642, 111,963.96 and 25,394 is: 38,091.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,642 : 111,963.96 = 25,394 : x
  2. Step 2: Convert to fraction form
    74,642/111,963.96 = 25,394/x
  3. Step 3: Cross multiply
    74,642x = 111,963.96 × 25,394
  4. Step 4: Simplify right side
    74,642x = 2,843,212,800.24
  5. Step 5: Solve for x
    x = 2,843,212,800.24/74,642
  6. Step 6: Final answer
    x = 38,091.33

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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.