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Finding the Fourth Proportional to 149,311.65, 206,048.31 and 81,328.41

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Solution

The fourth proportional to 149,311.65, 206,048.31 and 81,328.41 is: 112,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,311.65 : 206,048.31 = 81,328.41 : x
  2. Step 2: Convert to fraction form
    149,311.65/206,048.31 = 81,328.41/x
  3. Step 3: Cross multiply
    149,311.65x = 206,048.31 × 81,328.41
  4. Step 4: Simplify right side
    149,311.65x = 16,757,581,435.49
  5. Step 5: Solve for x
    x = 16,757,581,435.49/149,311.65
  6. Step 6: Final answer
    x = 112,232.24

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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.