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Finding the Fourth Proportional to 87,296, 130,944 and 21,632

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Solution

The fourth proportional to 87,296, 130,944 and 21,632 is: 32,448

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,296 : 130,944 = 21,632 : x
  2. Step 2: Convert to fraction form
    87,296/130,944 = 21,632/x
  3. Step 3: Cross multiply
    87,296x = 130,944 × 21,632
  4. Step 4: Simplify right side
    87,296x = 2,832,580,608
  5. Step 5: Solve for x
    x = 2,832,580,608/87,296
  6. Step 6: Final answer
    x = 32,448

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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.