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Finding the Fourth Proportional to 160,905, 222,048.90 and 89,296.56

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Solution

The fourth proportional to 160,905, 222,048.90 and 89,296.56 is: 123,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,905 : 222,048.90 = 89,296.56 : x
  2. Step 2: Convert to fraction form
    160,905/222,048.90 = 89,296.56/x
  3. Step 3: Cross multiply
    160,905x = 222,048.90 × 89,296.56
  4. Step 4: Simplify right side
    160,905x = 19,828,202,921.78
  5. Step 5: Solve for x
    x = 19,828,202,921.78/160,905
  6. Step 6: Final answer
    x = 123,229.25

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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.