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Finding the Fourth Proportional to 77,489.94, 106,908.62 and 50,647.94

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Solution

The fourth proportional to 77,489.94, 106,908.62 and 50,647.94 is: 69,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,489.94 : 106,908.62 = 50,647.94 : x
  2. Step 2: Convert to fraction form
    77,489.94/106,908.62 = 50,647.94/x
  3. Step 3: Cross multiply
    77,489.94x = 106,908.62 × 50,647.94
  4. Step 4: Simplify right side
    77,489.94x = 5,414,701,385.27
  5. Step 5: Solve for x
    x = 5,414,701,385.27/77,489.94
  6. Step 6: Final answer
    x = 69,876.19

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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.