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Finding the Fourth Proportional to 196,264, 270,879.66 and 115,686.76

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Solution

The fourth proportional to 196,264, 270,879.66 and 115,686.76 is: 159,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,264 : 270,879.66 = 115,686.76 : x
  2. Step 2: Convert to fraction form
    196,264/270,879.66 = 115,686.76/x
  3. Step 3: Cross multiply
    196,264x = 270,879.66 × 115,686.76
  4. Step 4: Simplify right side
    196,264x = 31,337,190,215.30
  5. Step 5: Solve for x
    x = 31,337,190,215.30/196,264
  6. Step 6: Final answer
    x = 159,668.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.