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Finding the Fourth Proportional to 165,608.80, 248,422.80 and 47,288.80

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Solution

The fourth proportional to 165,608.80, 248,422.80 and 47,288.80 is: 70,935.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,608.80 : 248,422.80 = 47,288.80 : x
  2. Step 2: Convert to fraction form
    165,608.80/248,422.80 = 47,288.80/x
  3. Step 3: Cross multiply
    165,608.80x = 248,422.80 × 47,288.80
  4. Step 4: Simplify right side
    165,608.80x = 11,747,616,104.64
  5. Step 5: Solve for x
    x = 11,747,616,104.64/165,608.80
  6. Step 6: Final answer
    x = 70,935.94

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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.