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Finding the Fourth Proportional to 180,721.60, 270,693.60 and 149,617.60

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Solution

The fourth proportional to 180,721.60, 270,693.60 and 149,617.60 is: 224,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,721.60 : 270,693.60 = 149,617.60 : x
  2. Step 2: Convert to fraction form
    180,721.60/270,693.60 = 149,617.60/x
  3. Step 3: Cross multiply
    180,721.60x = 270,693.60 × 149,617.60
  4. Step 4: Simplify right side
    180,721.60x = 40,500,526,767.36
  5. Step 5: Solve for x
    x = 40,500,526,767.36/180,721.60
  6. Step 6: Final answer
    x = 224,104.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.