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Finding the Fourth Proportional to 197,138.10, 295,707.15 and 165,645.30

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Solution

The fourth proportional to 197,138.10, 295,707.15 and 165,645.30 is: 248,467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,138.10 : 295,707.15 = 165,645.30 : x
  2. Step 2: Convert to fraction form
    197,138.10/295,707.15 = 165,645.30/x
  3. Step 3: Cross multiply
    197,138.10x = 295,707.15 × 165,645.30
  4. Step 4: Simplify right side
    197,138.10x = 48,982,499,573.90
  5. Step 5: Solve for x
    x = 48,982,499,573.90/197,138.10
  6. Step 6: Final answer
    x = 248,467.95

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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.