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Finding the Fourth Proportional to 85,049.92, 127,580.12 and 25,890

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Solution

The fourth proportional to 85,049.92, 127,580.12 and 25,890 is: 38,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,049.92 : 127,580.12 = 25,890 : x
  2. Step 2: Convert to fraction form
    85,049.92/127,580.12 = 25,890/x
  3. Step 3: Cross multiply
    85,049.92x = 127,580.12 × 25,890
  4. Step 4: Simplify right side
    85,049.92x = 3,303,049,306.80
  5. Step 5: Solve for x
    x = 3,303,049,306.80/85,049.92
  6. Step 6: Final answer
    x = 38,836.60

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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.