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Finding the Fourth Proportional to 161,874.78, 223,389.97 and 89,286.01

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Solution

The fourth proportional to 161,874.78, 223,389.97 and 89,286.01 is: 123,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,874.78 : 223,389.97 = 89,286.01 : x
  2. Step 2: Convert to fraction form
    161,874.78/223,389.97 = 89,286.01/x
  3. Step 3: Cross multiply
    161,874.78x = 223,389.97 × 89,286.01
  4. Step 4: Simplify right side
    161,874.78x = 19,945,598,313.63
  5. Step 5: Solve for x
    x = 19,945,598,313.63/161,874.78
  6. Step 6: Final answer
    x = 123,216.22

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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.