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Finding the Fourth Proportional to 83,633.78, 125,383.75 and 43,632.69

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Solution

The fourth proportional to 83,633.78, 125,383.75 and 43,632.69 is: 65,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,633.78 : 125,383.75 = 43,632.69 : x
  2. Step 2: Convert to fraction form
    83,633.78/125,383.75 = 43,632.69/x
  3. Step 3: Cross multiply
    83,633.78x = 125,383.75 × 43,632.69
  4. Step 4: Simplify right side
    83,633.78x = 5,470,829,715.52
  5. Step 5: Solve for x
    x = 5,470,829,715.52/83,633.78
  6. Step 6: Final answer
    x = 65,414.11

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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.