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Finding the Fourth Proportional to 215,408.23, 323,158.95 and 65,644.56

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Solution

The fourth proportional to 215,408.23, 323,158.95 and 65,644.56 is: 98,481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,408.23 : 323,158.95 = 65,644.56 : x
  2. Step 2: Convert to fraction form
    215,408.23/323,158.95 = 65,644.56/x
  3. Step 3: Cross multiply
    215,408.23x = 323,158.95 × 65,644.56
  4. Step 4: Simplify right side
    215,408.23x = 21,213,627,082.81
  5. Step 5: Solve for x
    x = 21,213,627,082.81/215,408.23
  6. Step 6: Final answer
    x = 98,481.04

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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.