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Finding the Fourth Proportional to 161,493.40, 222,851.76 and 89,869.96

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Solution

The fourth proportional to 161,493.40, 222,851.76 and 89,869.96 is: 124,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,493.40 : 222,851.76 = 89,869.96 : x
  2. Step 2: Convert to fraction form
    161,493.40/222,851.76 = 89,869.96/x
  3. Step 3: Cross multiply
    161,493.40x = 222,851.76 × 89,869.96
  4. Step 4: Simplify right side
    161,493.40x = 20,027,678,757.13
  5. Step 5: Solve for x
    x = 20,027,678,757.13/161,493.40
  6. Step 6: Final answer
    x = 124,015.46

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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.