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Finding the Fourth Proportional to 77,092.84, 106,405.90 and 50,188.50

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Solution

The fourth proportional to 77,092.84, 106,405.90 and 50,188.50 is: 69,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,092.84 : 106,405.90 = 50,188.50 : x
  2. Step 2: Convert to fraction form
    77,092.84/106,405.90 = 50,188.50/x
  3. Step 3: Cross multiply
    77,092.84x = 106,405.90 × 50,188.50
  4. Step 4: Simplify right side
    77,092.84x = 5,340,352,512.15
  5. Step 5: Solve for x
    x = 5,340,352,512.15/77,092.84
  6. Step 6: Final answer
    x = 69,271.71

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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.