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Finding the Fourth Proportional to 92,319.78, 138,516.12 and 47,974.44

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Solution

The fourth proportional to 92,319.78, 138,516.12 and 47,974.44 is: 71,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,319.78 : 138,516.12 = 47,974.44 : x
  2. Step 2: Convert to fraction form
    92,319.78/138,516.12 = 47,974.44/x
  3. Step 3: Cross multiply
    92,319.78x = 138,516.12 × 47,974.44
  4. Step 4: Simplify right side
    92,319.78x = 6,645,233,287.97
  5. Step 5: Solve for x
    x = 6,645,233,287.97/92,319.78
  6. Step 6: Final answer
    x = 71,980.60

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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.