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Finding the Fourth Proportional to 87,162, 130,743 and 21,498

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Solution

The fourth proportional to 87,162, 130,743 and 21,498 is: 32,247

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,162 : 130,743 = 21,498 : x
  2. Step 2: Convert to fraction form
    87,162/130,743 = 21,498/x
  3. Step 3: Cross multiply
    87,162x = 130,743 × 21,498
  4. Step 4: Simplify right side
    87,162x = 2,810,713,014
  5. Step 5: Solve for x
    x = 2,810,713,014/87,162
  6. Step 6: Final answer
    x = 32,247

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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.