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Finding the Fourth Proportional to 77,414.65, 106,792.83 and 50,572.87

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Solution

The fourth proportional to 77,414.65, 106,792.83 and 50,572.87 is: 69,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,414.65 : 106,792.83 = 50,572.87 : x
  2. Step 2: Convert to fraction form
    77,414.65/106,792.83 = 50,572.87/x
  3. Step 3: Cross multiply
    77,414.65x = 106,792.83 × 50,572.87
  4. Step 4: Simplify right side
    77,414.65x = 5,400,819,641.54
  5. Step 5: Solve for x
    x = 5,400,819,641.54/77,414.65
  6. Step 6: Final answer
    x = 69,764.83

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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.