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Finding the Fourth Proportional to 188,268, 259,806.54 and 103,384.47

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Solution

The fourth proportional to 188,268, 259,806.54 and 103,384.47 is: 142,668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,268 : 259,806.54 = 103,384.47 : x
  2. Step 2: Convert to fraction form
    188,268/259,806.54 = 103,384.47/x
  3. Step 3: Cross multiply
    188,268x = 259,806.54 × 103,384.47
  4. Step 4: Simplify right side
    188,268x = 26,859,961,440.43
  5. Step 5: Solve for x
    x = 26,859,961,440.43/188,268
  6. Step 6: Final answer
    x = 142,668.76

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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.