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Finding the Fourth Proportional to 87,638.32, 131,470.80 and 32,230

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Solution

The fourth proportional to 87,638.32, 131,470.80 and 32,230 is: 48,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,638.32 : 131,470.80 = 32,230 : x
  2. Step 2: Convert to fraction form
    87,638.32/131,470.80 = 32,230/x
  3. Step 3: Cross multiply
    87,638.32x = 131,470.80 × 32,230
  4. Step 4: Simplify right side
    87,638.32x = 4,237,303,884.00
  5. Step 5: Solve for x
    x = 4,237,303,884.00/87,638.32
  6. Step 6: Final answer
    x = 48,349.90

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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.