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Finding the Fourth Proportional to 136,116.45, 204,174.68 and 77,067.45

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Solution

The fourth proportional to 136,116.45, 204,174.68 and 77,067.45 is: 115,601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,116.45 : 204,174.68 = 77,067.45 : x
  2. Step 2: Convert to fraction form
    136,116.45/204,174.68 = 77,067.45/x
  3. Step 3: Cross multiply
    136,116.45x = 204,174.68 × 77,067.45
  4. Step 4: Simplify right side
    136,116.45x = 15,735,221,556.83
  5. Step 5: Solve for x
    x = 15,735,221,556.83/136,116.45
  6. Step 6: Final answer
    x = 115,601.18

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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.