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Finding the Fourth Proportional to 89,569, 123,605.70 and 49,825

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Solution

The fourth proportional to 89,569, 123,605.70 and 49,825 is: 68,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,569 : 123,605.70 = 49,825 : x
  2. Step 2: Convert to fraction form
    89,569/123,605.70 = 49,825/x
  3. Step 3: Cross multiply
    89,569x = 123,605.70 × 49,825
  4. Step 4: Simplify right side
    89,569x = 6,158,654,002.50
  5. Step 5: Solve for x
    x = 6,158,654,002.50/89,569
  6. Step 6: Final answer
    x = 68,758.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.