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Finding the Fourth Proportional to 87,219, 130,848 and 31,815

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Solution

The fourth proportional to 87,219, 130,848 and 31,815 is: 47,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,219 : 130,848 = 31,815 : x
  2. Step 2: Convert to fraction form
    87,219/130,848 = 31,815/x
  3. Step 3: Cross multiply
    87,219x = 130,848 × 31,815
  4. Step 4: Simplify right side
    87,219x = 4,162,929,120
  5. Step 5: Solve for x
    x = 4,162,929,120/87,219
  6. Step 6: Final answer
    x = 47,729.61

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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.