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Finding the Fourth Proportional to 87,218.20, 130,827.30 and 82,034.20

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Solution

The fourth proportional to 87,218.20, 130,827.30 and 82,034.20 is: 123,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,218.20 : 130,827.30 = 82,034.20 : x
  2. Step 2: Convert to fraction form
    87,218.20/130,827.30 = 82,034.20/x
  3. Step 3: Cross multiply
    87,218.20x = 130,827.30 × 82,034.20
  4. Step 4: Simplify right side
    87,218.20x = 10,732,312,893.66
  5. Step 5: Solve for x
    x = 10,732,312,893.66/87,218.20
  6. Step 6: Final answer
    x = 123,051.30

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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.