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Finding the Fourth Proportional to 138,521.97, 207,771.85 and 61,608.78

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Solution

The fourth proportional to 138,521.97, 207,771.85 and 61,608.78 is: 92,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,521.97 : 207,771.85 = 61,608.78 : x
  2. Step 2: Convert to fraction form
    138,521.97/207,771.85 = 61,608.78/x
  3. Step 3: Cross multiply
    138,521.97x = 207,771.85 × 61,608.78
  4. Step 4: Simplify right side
    138,521.97x = 12,800,570,196.84
  5. Step 5: Solve for x
    x = 12,800,570,196.84/138,521.97
  6. Step 6: Final answer
    x = 92,408.23

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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.