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Finding the Fourth Proportional to 87,210.25, 130,834.88 and 31,806.25

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Solution

The fourth proportional to 87,210.25, 130,834.88 and 31,806.25 is: 47,716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,210.25 : 130,834.88 = 31,806.25 : x
  2. Step 2: Convert to fraction form
    87,210.25/130,834.88 = 31,806.25/x
  3. Step 3: Cross multiply
    87,210.25x = 130,834.88 × 31,806.25
  4. Step 4: Simplify right side
    87,210.25x = 4,161,366,902
  5. Step 5: Solve for x
    x = 4,161,366,902/87,210.25
  6. Step 6: Final answer
    x = 47,716.49

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1.5x scale

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.