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Finding the Fourth Proportional to 129,297.36, 193,950.52 and 35,810

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Solution

The fourth proportional to 129,297.36, 193,950.52 and 35,810 is: 53,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,297.36 : 193,950.52 = 35,810 : x
  2. Step 2: Convert to fraction form
    129,297.36/193,950.52 = 35,810/x
  3. Step 3: Cross multiply
    129,297.36x = 193,950.52 × 35,810
  4. Step 4: Simplify right side
    129,297.36x = 6,945,368,121.20
  5. Step 5: Solve for x
    x = 6,945,368,121.20/129,297.36
  6. Step 6: Final answer
    x = 53,716.24

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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.