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Finding the Fourth Proportional to 161,306, 222,591.75 and 89,683.37

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Solution

The fourth proportional to 161,306, 222,591.75 and 89,683.37 is: 123,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,306 : 222,591.75 = 89,683.37 : x
  2. Step 2: Convert to fraction form
    161,306/222,591.75 = 89,683.37/x
  3. Step 3: Cross multiply
    161,306x = 222,591.75 × 89,683.37
  4. Step 4: Simplify right side
    161,306x = 19,962,778,274.20
  5. Step 5: Solve for x
    x = 19,962,778,274.20/161,306
  6. Step 6: Final answer
    x = 123,757.20

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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.