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Finding the Fourth Proportional to 188,204.40, 259,706.64 and 103,318.56

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Solution

The fourth proportional to 188,204.40, 259,706.64 and 103,318.56 is: 142,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,204.40 : 259,706.64 = 103,318.56 : x
  2. Step 2: Convert to fraction form
    188,204.40/259,706.64 = 103,318.56/x
  3. Step 3: Cross multiply
    188,204.40x = 259,706.64 × 103,318.56
  4. Step 4: Simplify right side
    188,204.40x = 26,832,516,067.24
  5. Step 5: Solve for x
    x = 26,832,516,067.24/188,204.40
  6. Step 6: Final answer
    x = 142,571.14

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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.