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Finding the Fourth Proportional to 231,938.29, 347,797.78 and 89,850.11

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Solution

The fourth proportional to 231,938.29, 347,797.78 and 89,850.11 is: 134,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,938.29 : 347,797.78 = 89,850.11 : x
  2. Step 2: Convert to fraction form
    231,938.29/347,797.78 = 89,850.11/x
  3. Step 3: Cross multiply
    231,938.29x = 347,797.78 × 89,850.11
  4. Step 4: Simplify right side
    231,938.29x = 31,249,669,435.63
  5. Step 5: Solve for x
    x = 31,249,669,435.63/231,938.29
  6. Step 6: Final answer
    x = 134,732.69

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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.