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Finding the Fourth Proportional to 109,378.16, 164,145 and 50,280.56

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Solution

The fourth proportional to 109,378.16, 164,145 and 50,280.56 is: 75,456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,378.16 : 164,145 = 50,280.56 : x
  2. Step 2: Convert to fraction form
    109,378.16/164,145 = 50,280.56/x
  3. Step 3: Cross multiply
    109,378.16x = 164,145 × 50,280.56
  4. Step 4: Simplify right side
    109,378.16x = 8,253,302,521.20
  5. Step 5: Solve for x
    x = 8,253,302,521.20/109,378.16
  6. Step 6: Final answer
    x = 75,456.59

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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.