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Finding the Fourth Proportional to 203,981.92, 306,092.74 and 85,644.16

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Solution

The fourth proportional to 203,981.92, 306,092.74 and 85,644.16 is: 128,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,981.92 : 306,092.74 = 85,644.16 : x
  2. Step 2: Convert to fraction form
    203,981.92/306,092.74 = 85,644.16/x
  3. Step 3: Cross multiply
    203,981.92x = 306,092.74 × 85,644.16
  4. Step 4: Simplify right side
    203,981.92x = 26,215,055,599.40
  5. Step 5: Solve for x
    x = 26,215,055,599.40/203,981.92
  6. Step 6: Final answer
    x = 128,516.56

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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.