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Finding the Fourth Proportional to 81,920.95, 122,723.98 and 50,238.62

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Solution

The fourth proportional to 81,920.95, 122,723.98 and 50,238.62 is: 75,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,920.95 : 122,723.98 = 50,238.62 : x
  2. Step 2: Convert to fraction form
    81,920.95/122,723.98 = 50,238.62/x
  3. Step 3: Cross multiply
    81,920.95x = 122,723.98 × 50,238.62
  4. Step 4: Simplify right side
    81,920.95x = 6,165,483,396.11
  5. Step 5: Solve for x
    x = 6,165,483,396.11/81,920.95
  6. Step 6: Final answer
    x = 75,261.38

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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.