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Finding the Fourth Proportional to 85,463.75, 128,201.10 and 32,873.24

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Solution

The fourth proportional to 85,463.75, 128,201.10 and 32,873.24 is: 49,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,463.75 : 128,201.10 = 32,873.24 : x
  2. Step 2: Convert to fraction form
    85,463.75/128,201.10 = 32,873.24/x
  3. Step 3: Cross multiply
    85,463.75x = 128,201.10 × 32,873.24
  4. Step 4: Simplify right side
    85,463.75x = 4,214,384,723.19
  5. Step 5: Solve for x
    x = 4,214,384,723.19/85,463.75
  6. Step 6: Final answer
    x = 49,311.96

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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.