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Finding the Fourth Proportional to 237,785.50, 328,144 and 137,183.50

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Solution

The fourth proportional to 237,785.50, 328,144 and 137,183.50 is: 189,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,785.50 : 328,144 = 137,183.50 : x
  2. Step 2: Convert to fraction form
    237,785.50/328,144 = 137,183.50/x
  3. Step 3: Cross multiply
    237,785.50x = 328,144 × 137,183.50
  4. Step 4: Simplify right side
    237,785.50x = 45,015,942,424
  5. Step 5: Solve for x
    x = 45,015,942,424/237,785.50
  6. Step 6: Final answer
    x = 189,313.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.