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Finding the Fourth Proportional to 160,992, 222,157.82 and 89,366.39

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Solution

The fourth proportional to 160,992, 222,157.82 and 89,366.39 is: 123,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,992 : 222,157.82 = 89,366.39 : x
  2. Step 2: Convert to fraction form
    160,992/222,157.82 = 89,366.39/x
  3. Step 3: Cross multiply
    160,992x = 222,157.82 × 89,366.39
  4. Step 4: Simplify right side
    160,992x = 19,853,442,329.39
  5. Step 5: Solve for x
    x = 19,853,442,329.39/160,992
  6. Step 6: Final answer
    x = 123,319.43

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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.