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Finding the Fourth Proportional to 215,168.52, 322,749.84 and 96,756

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Solution

The fourth proportional to 215,168.52, 322,749.84 and 96,756 is: 145,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,168.52 : 322,749.84 = 96,756 : x
  2. Step 2: Convert to fraction form
    215,168.52/322,749.84 = 96,756/x
  3. Step 3: Cross multiply
    215,168.52x = 322,749.84 × 96,756
  4. Step 4: Simplify right side
    215,168.52x = 31,227,983,519.04
  5. Step 5: Solve for x
    x = 31,227,983,519.04/215,168.52
  6. Step 6: Final answer
    x = 145,132.68

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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.