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Finding the Fourth Proportional to 207,306.69, 311,025.78 and 74,184

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Solution

The fourth proportional to 207,306.69, 311,025.78 and 74,184 is: 111,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,306.69 : 311,025.78 = 74,184 : x
  2. Step 2: Convert to fraction form
    207,306.69/311,025.78 = 74,184/x
  3. Step 3: Cross multiply
    207,306.69x = 311,025.78 × 74,184
  4. Step 4: Simplify right side
    207,306.69x = 23,073,136,463.52
  5. Step 5: Solve for x
    x = 23,073,136,463.52/207,306.69
  6. Step 6: Final answer
    x = 111,299.53

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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.