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Finding the Fourth Proportional to 161,320, 222,621.60 and 90,664

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Solution

The fourth proportional to 161,320, 222,621.60 and 90,664 is: 125,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,320 : 222,621.60 = 90,664 : x
  2. Step 2: Convert to fraction form
    161,320/222,621.60 = 90,664/x
  3. Step 3: Cross multiply
    161,320x = 222,621.60 × 90,664
  4. Step 4: Simplify right side
    161,320x = 20,183,764,742.40
  5. Step 5: Solve for x
    x = 20,183,764,742.40/161,320
  6. Step 6: Final answer
    x = 125,116.32

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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.