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Finding the Fourth Proportional to 161,405.14, 222,751.44 and 89,790.46

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Solution

The fourth proportional to 161,405.14, 222,751.44 and 89,790.46 is: 123,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,405.14 : 222,751.44 = 89,790.46 : x
  2. Step 2: Convert to fraction form
    161,405.14/222,751.44 = 89,790.46/x
  3. Step 3: Cross multiply
    161,405.14x = 222,751.44 × 89,790.46
  4. Step 4: Simplify right side
    161,405.14x = 20,000,954,263.26
  5. Step 5: Solve for x
    x = 20,000,954,263.26/161,405.14
  6. Step 6: Final answer
    x = 123,917.70

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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.