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Finding the Fourth Proportional to 216,322.54, 324,537.34 and 89,924.88

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Solution

The fourth proportional to 216,322.54, 324,537.34 and 89,924.88 is: 134,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,322.54 : 324,537.34 = 89,924.88 : x
  2. Step 2: Convert to fraction form
    216,322.54/324,537.34 = 89,924.88/x
  3. Step 3: Cross multiply
    216,322.54x = 324,537.34 × 89,924.88
  4. Step 4: Simplify right side
    216,322.54x = 29,183,981,355.02
  5. Step 5: Solve for x
    x = 29,183,981,355.02/216,322.54
  6. Step 6: Final answer
    x = 134,909.57

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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.