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Finding the Fourth Proportional to 203,776.62, 305,566.61 and 85,416.18

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Solution

The fourth proportional to 203,776.62, 305,566.61 and 85,416.18 is: 128,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,776.62 : 305,566.61 = 85,416.18 : x
  2. Step 2: Convert to fraction form
    203,776.62/305,566.61 = 85,416.18/x
  3. Step 3: Cross multiply
    203,776.62x = 305,566.61 × 85,416.18
  4. Step 4: Simplify right side
    203,776.62x = 26,100,332,134.67
  5. Step 5: Solve for x
    x = 26,100,332,134.67/203,776.62
  6. Step 6: Final answer
    x = 128,083.06

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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.