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Finding the Fourth Proportional to 215,324.89, 322,987.46 and 96,857.84

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Solution

The fourth proportional to 215,324.89, 322,987.46 and 96,857.84 is: 145,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,324.89 : 322,987.46 = 96,857.84 : x
  2. Step 2: Convert to fraction form
    215,324.89/322,987.46 = 96,857.84/x
  3. Step 3: Cross multiply
    215,324.89x = 322,987.46 × 96,857.84
  4. Step 4: Simplify right side
    215,324.89x = 31,283,867,722.69
  5. Step 5: Solve for x
    x = 31,283,867,722.69/215,324.89
  6. Step 6: Final answer
    x = 145,286.82

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1.5x scale

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.