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Finding the Fourth Proportional to 87,210, 130,834.50 and 31,806

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Solution

The fourth proportional to 87,210, 130,834.50 and 31,806 is: 47,716.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,210 : 130,834.50 = 31,806 : x
  2. Step 2: Convert to fraction form
    87,210/130,834.50 = 31,806/x
  3. Step 3: Cross multiply
    87,210x = 130,834.50 × 31,806
  4. Step 4: Simplify right side
    87,210x = 4,161,322,107
  5. Step 5: Solve for x
    x = 4,161,322,107/87,210
  6. Step 6: Final answer
    x = 47,716.11

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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.