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Finding the Fourth Proportional to 269,247.68, 371,496.48 and 161,900

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Solution

The fourth proportional to 269,247.68, 371,496.48 and 161,900 is: 223,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,247.68 : 371,496.48 = 161,900 : x
  2. Step 2: Convert to fraction form
    269,247.68/371,496.48 = 161,900/x
  3. Step 3: Cross multiply
    269,247.68x = 371,496.48 × 161,900
  4. Step 4: Simplify right side
    269,247.68x = 60,145,280,112
  5. Step 5: Solve for x
    x = 60,145,280,112/269,247.68
  6. Step 6: Final answer
    x = 223,382.72

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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.