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Finding the Fourth Proportional to 161,407.56, 222,720.72 and 89,778.48

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Solution

The fourth proportional to 161,407.56, 222,720.72 and 89,778.48 is: 123,882.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,407.56 : 222,720.72 = 89,778.48 : x
  2. Step 2: Convert to fraction form
    161,407.56/222,720.72 = 89,778.48/x
  3. Step 3: Cross multiply
    161,407.56x = 222,720.72 × 89,778.48
  4. Step 4: Simplify right side
    161,407.56x = 19,995,527,706.11
  5. Step 5: Solve for x
    x = 19,995,527,706.11/161,407.56
  6. Step 6: Final answer
    x = 123,882.23

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1.5x scale

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.