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Finding the Fourth Proportional to 206,646.93, 309,674.39 and 117,716.81

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Solution

The fourth proportional to 206,646.93, 309,674.39 and 117,716.81 is: 176,406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,646.93 : 309,674.39 = 117,716.81 : x
  2. Step 2: Convert to fraction form
    206,646.93/309,674.39 = 117,716.81/x
  3. Step 3: Cross multiply
    206,646.93x = 309,674.39 × 117,716.81
  4. Step 4: Simplify right side
    206,646.93x = 36,453,879,192.54
  5. Step 5: Solve for x
    x = 36,453,879,192.54/206,646.93
  6. Step 6: Final answer
    x = 176,406.58

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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.