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Finding the Fourth Proportional to 165,739.20, 248,608.80 and 139,819.20

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Solution

The fourth proportional to 165,739.20, 248,608.80 and 139,819.20 is: 209,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,739.20 : 248,608.80 = 139,819.20 : x
  2. Step 2: Convert to fraction form
    165,739.20/248,608.80 = 139,819.20/x
  3. Step 3: Cross multiply
    165,739.20x = 248,608.80 × 139,819.20
  4. Step 4: Simplify right side
    165,739.20x = 34,760,283,528.96
  5. Step 5: Solve for x
    x = 34,760,283,528.96/165,739.20
  6. Step 6: Final answer
    x = 209,728.80

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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.