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Finding the Fourth Proportional to 77,326, 115,906.08 and 50,661.92

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Solution

The fourth proportional to 77,326, 115,906.08 and 50,661.92 is: 75,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,326 : 115,906.08 = 50,661.92 : x
  2. Step 2: Convert to fraction form
    77,326/115,906.08 = 50,661.92/x
  3. Step 3: Cross multiply
    77,326x = 115,906.08 × 50,661.92
  4. Step 4: Simplify right side
    77,326x = 5,872,024,552.47
  5. Step 5: Solve for x
    x = 5,872,024,552.47/77,326
  6. Step 6: Final answer
    x = 75,938.55

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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.