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Finding the Fourth Proportional to 215,420.50, 323,174.49 and 90,761.50

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Solution

The fourth proportional to 215,420.50, 323,174.49 and 90,761.50 is: 136,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,420.50 : 323,174.49 = 90,761.50 : x
  2. Step 2: Convert to fraction form
    215,420.50/323,174.49 = 90,761.50/x
  3. Step 3: Cross multiply
    215,420.50x = 323,174.49 × 90,761.50
  4. Step 4: Simplify right side
    215,420.50x = 29,331,801,474.14
  5. Step 5: Solve for x
    x = 29,331,801,474.14/215,420.50
  6. Step 6: Final answer
    x = 136,160.68

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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.