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Finding the Fourth Proportional to 87,321.40, 130,982.10 and 24,141.40

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Solution

The fourth proportional to 87,321.40, 130,982.10 and 24,141.40 is: 36,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,321.40 : 130,982.10 = 24,141.40 : x
  2. Step 2: Convert to fraction form
    87,321.40/130,982.10 = 24,141.40/x
  3. Step 3: Cross multiply
    87,321.40x = 130,982.10 × 24,141.40
  4. Step 4: Simplify right side
    87,321.40x = 3,162,091,268.94
  5. Step 5: Solve for x
    x = 3,162,091,268.94/87,321.40
  6. Step 6: Final answer
    x = 36,212.10

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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.