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Finding the Fourth Proportional to 253,721.78, 380,626.44 and 85,258.28

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Solution

The fourth proportional to 253,721.78, 380,626.44 and 85,258.28 is: 127,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,721.78 : 380,626.44 = 85,258.28 : x
  2. Step 2: Convert to fraction form
    253,721.78/380,626.44 = 85,258.28/x
  3. Step 3: Cross multiply
    253,721.78x = 380,626.44 × 85,258.28
  4. Step 4: Simplify right side
    253,721.78x = 32,451,555,596.92
  5. Step 5: Solve for x
    x = 32,451,555,596.92/253,721.78
  6. Step 6: Final answer
    x = 127,902.13

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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.