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Finding the Fourth Proportional to 161,409.56, 222,723.48 and 89,780.48

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Solution

The fourth proportional to 161,409.56, 222,723.48 and 89,780.48 is: 123,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,409.56 : 222,723.48 = 89,780.48 : x
  2. Step 2: Convert to fraction form
    161,409.56/222,723.48 = 89,780.48/x
  3. Step 3: Cross multiply
    161,409.56x = 222,723.48 × 89,780.48
  4. Step 4: Simplify right side
    161,409.56x = 19,996,220,941.67
  5. Step 5: Solve for x
    x = 19,996,220,941.67/161,409.56
  6. Step 6: Final answer
    x = 123,884.99

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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.