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Finding the Fourth Proportional to 165,806.10, 248,747.31 and 47,478.42

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Solution

The fourth proportional to 165,806.10, 248,747.31 and 47,478.42 is: 71,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,806.10 : 248,747.31 = 47,478.42 : x
  2. Step 2: Convert to fraction form
    165,806.10/248,747.31 = 47,478.42/x
  3. Step 3: Cross multiply
    165,806.10x = 248,747.31 × 47,478.42
  4. Step 4: Simplify right side
    165,806.10x = 11,810,129,258.05
  5. Step 5: Solve for x
    x = 11,810,129,258.05/165,806.10
  6. Step 6: Final answer
    x = 71,228.56

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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.