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Finding the Fourth Proportional to 139,541.81, 209,310.92 and 34,361.69

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Solution

The fourth proportional to 139,541.81, 209,310.92 and 34,361.69 is: 51,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,541.81 : 209,310.92 = 34,361.69 : x
  2. Step 2: Convert to fraction form
    139,541.81/209,310.92 = 34,361.69/x
  3. Step 3: Cross multiply
    139,541.81x = 209,310.92 × 34,361.69
  4. Step 4: Simplify right side
    139,541.81x = 7,192,276,774.85
  5. Step 5: Solve for x
    x = 7,192,276,774.85/139,541.81
  6. Step 6: Final answer
    x = 51,542.09

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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.