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Finding the Fourth Proportional to 208,834.65, 313,287.71 and 82,408.91

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Solution

The fourth proportional to 208,834.65, 313,287.71 and 82,408.91 is: 123,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,834.65 : 313,287.71 = 82,408.91 : x
  2. Step 2: Convert to fraction form
    208,834.65/313,287.71 = 82,408.91/x
  3. Step 3: Cross multiply
    208,834.65x = 313,287.71 × 82,408.91
  4. Step 4: Simplify right side
    208,834.65x = 25,817,696,719.01
  5. Step 5: Solve for x
    x = 25,817,696,719.01/208,834.65
  6. Step 6: Final answer
    x = 123,627.46

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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.