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Finding the Fourth Proportional to 87,215.20, 130,822.80 and 31,832.80

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Solution

The fourth proportional to 87,215.20, 130,822.80 and 31,832.80 is: 47,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,215.20 : 130,822.80 = 31,832.80 : x
  2. Step 2: Convert to fraction form
    87,215.20/130,822.80 = 31,832.80/x
  3. Step 3: Cross multiply
    87,215.20x = 130,822.80 × 31,832.80
  4. Step 4: Simplify right side
    87,215.20x = 4,164,456,027.84
  5. Step 5: Solve for x
    x = 4,164,456,027.84/87,215.20
  6. Step 6: Final answer
    x = 47,749.20

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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.