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Finding the Fourth Proportional to 165,754.40, 248,631.60 and 102,768.80

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Solution

The fourth proportional to 165,754.40, 248,631.60 and 102,768.80 is: 154,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,754.40 : 248,631.60 = 102,768.80 : x
  2. Step 2: Convert to fraction form
    165,754.40/248,631.60 = 102,768.80/x
  3. Step 3: Cross multiply
    165,754.40x = 248,631.60 × 102,768.80
  4. Step 4: Simplify right side
    165,754.40x = 25,551,571,174.08
  5. Step 5: Solve for x
    x = 25,551,571,174.08/165,754.40
  6. Step 6: Final answer
    x = 154,153.20

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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.