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Finding the Fourth Proportional to 203,712.16, 305,255.68 and 85,318.72

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Solution

The fourth proportional to 203,712.16, 305,255.68 and 85,318.72 is: 127,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,712.16 : 305,255.68 = 85,318.72 : x
  2. Step 2: Convert to fraction form
    203,712.16/305,255.68 = 85,318.72/x
  3. Step 3: Cross multiply
    203,712.16x = 305,255.68 × 85,318.72
  4. Step 4: Simplify right side
    203,712.16x = 26,044,023,890.33
  5. Step 5: Solve for x
    x = 26,044,023,890.33/203,712.16
  6. Step 6: Final answer
    x = 127,847.17

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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.