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Finding the Fourth Proportional to 148,850.78, 205,432 and 85,187.22

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Solution

The fourth proportional to 148,850.78, 205,432 and 85,187.22 is: 117,568.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,850.78 : 205,432 = 85,187.22 : x
  2. Step 2: Convert to fraction form
    148,850.78/205,432 = 85,187.22/x
  3. Step 3: Cross multiply
    148,850.78x = 205,432 × 85,187.22
  4. Step 4: Simplify right side
    148,850.78x = 17,500,180,979.04
  5. Step 5: Solve for x
    x = 17,500,180,979.04/148,850.78
  6. Step 6: Final answer
    x = 117,568.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.