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Finding the Fourth Proportional to 84,439, 116,515.69 and 48,640.65

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Solution

The fourth proportional to 84,439, 116,515.69 and 48,640.65 is: 67,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,439 : 116,515.69 = 48,640.65 : x
  2. Step 2: Convert to fraction form
    84,439/116,515.69 = 48,640.65/x
  3. Step 3: Cross multiply
    84,439x = 116,515.69 × 48,640.65
  4. Step 4: Simplify right side
    84,439x = 5,667,398,896.80
  5. Step 5: Solve for x
    x = 5,667,398,896.80/84,439
  6. Step 6: Final answer
    x = 67,118.26

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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.