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Finding the Fourth Proportional to 216,135.76, 324,345.88 and 75,890.64

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Solution

The fourth proportional to 216,135.76, 324,345.88 and 75,890.64 is: 113,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,135.76 : 324,345.88 = 75,890.64 : x
  2. Step 2: Convert to fraction form
    216,135.76/324,345.88 = 75,890.64/x
  3. Step 3: Cross multiply
    216,135.76x = 324,345.88 × 75,890.64
  4. Step 4: Simplify right side
    216,135.76x = 24,614,816,414.56
  5. Step 5: Solve for x
    x = 24,614,816,414.56/216,135.76
  6. Step 6: Final answer
    x = 113,885.90

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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.