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Finding the Fourth Proportional to 203,763.40, 305,546.78 and 85,402.96

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Solution

The fourth proportional to 203,763.40, 305,546.78 and 85,402.96 is: 128,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,763.40 : 305,546.78 = 85,402.96 : x
  2. Step 2: Convert to fraction form
    203,763.40/305,546.78 = 85,402.96/x
  3. Step 3: Cross multiply
    203,763.40x = 305,546.78 × 85,402.96
  4. Step 4: Simplify right side
    203,763.40x = 26,094,598,880.11
  5. Step 5: Solve for x
    x = 26,094,598,880.11/203,763.40
  6. Step 6: Final answer
    x = 128,063.23

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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.