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Finding the Fourth Proportional to 77,390.75, 106,759.89 and 50,548.97

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Solution

The fourth proportional to 77,390.75, 106,759.89 and 50,548.97 is: 69,731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,390.75 : 106,759.89 = 50,548.97 : x
  2. Step 2: Convert to fraction form
    77,390.75/106,759.89 = 50,548.97/x
  3. Step 3: Cross multiply
    77,390.75x = 106,759.89 × 50,548.97
  4. Step 4: Simplify right side
    77,390.75x = 5,396,602,743.71
  5. Step 5: Solve for x
    x = 5,396,602,743.71/77,390.75
  6. Step 6: Final answer
    x = 69,731.88

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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.