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Finding the Fourth Proportional to 161,371.16, 222,689.01 and 89,749.64

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Solution

The fourth proportional to 161,371.16, 222,689.01 and 89,749.64 is: 123,852.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,371.16 : 222,689.01 = 89,749.64 : x
  2. Step 2: Convert to fraction form
    161,371.16/222,689.01 = 89,749.64/x
  3. Step 3: Cross multiply
    161,371.16x = 222,689.01 × 89,749.64
  4. Step 4: Simplify right side
    161,371.16x = 19,986,258,479.46
  5. Step 5: Solve for x
    x = 19,986,258,479.46/161,371.16
  6. Step 6: Final answer
    x = 123,852.73

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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.