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Finding the Fourth Proportional to 216,203.68, 324,322.80 and 75,993.76

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Solution

The fourth proportional to 216,203.68, 324,322.80 and 75,993.76 is: 113,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,203.68 : 324,322.80 = 75,993.76 : x
  2. Step 2: Convert to fraction form
    216,203.68/324,322.80 = 75,993.76/x
  3. Step 3: Cross multiply
    216,203.68x = 324,322.80 × 75,993.76
  4. Step 4: Simplify right side
    216,203.68x = 24,646,509,025.73
  5. Step 5: Solve for x
    x = 24,646,509,025.73/216,203.68
  6. Step 6: Final answer
    x = 113,996.71

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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.