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Finding the Fourth Proportional to 160,969.70, 222,138.02 and 89,349.57

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Solution

The fourth proportional to 160,969.70, 222,138.02 and 89,349.57 is: 123,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,969.70 : 222,138.02 = 89,349.57 : x
  2. Step 2: Convert to fraction form
    160,969.70/222,138.02 = 89,349.57/x
  3. Step 3: Cross multiply
    160,969.70x = 222,138.02 × 89,349.57
  4. Step 4: Simplify right side
    160,969.70x = 19,847,936,120.90
  5. Step 5: Solve for x
    x = 19,847,936,120.90/160,969.70
  6. Step 6: Final answer
    x = 123,302.32

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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.