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Finding the Fourth Proportional to 161,311.50, 222,599.34 and 89,688.96

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Solution

The fourth proportional to 161,311.50, 222,599.34 and 89,688.96 is: 123,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,311.50 : 222,599.34 = 89,688.96 : x
  2. Step 2: Convert to fraction form
    161,311.50/222,599.34 = 89,688.96/x
  3. Step 3: Cross multiply
    161,311.50x = 222,599.34 × 89,688.96
  4. Step 4: Simplify right side
    161,311.50x = 19,964,703,301.29
  5. Step 5: Solve for x
    x = 19,964,703,301.29/161,311.50
  6. Step 6: Final answer
    x = 123,764.91

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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.