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Finding the Fourth Proportional to 69,640.74, 96,103.68 and 37,809

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Solution

The fourth proportional to 69,640.74, 96,103.68 and 37,809 is: 52,176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,640.74 : 96,103.68 = 37,809 : x
  2. Step 2: Convert to fraction form
    69,640.74/96,103.68 = 37,809/x
  3. Step 3: Cross multiply
    69,640.74x = 96,103.68 × 37,809
  4. Step 4: Simplify right side
    69,640.74x = 3,633,584,037.12
  5. Step 5: Solve for x
    x = 3,633,584,037.12/69,640.74
  6. Step 6: Final answer
    x = 52,176.13

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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.