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Finding the Fourth Proportional to 188,713.22, 260,428.21 and 103,830.44

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Solution

The fourth proportional to 188,713.22, 260,428.21 and 103,830.44 is: 143,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,713.22 : 260,428.21 = 103,830.44 : x
  2. Step 2: Convert to fraction form
    188,713.22/260,428.21 = 103,830.44/x
  3. Step 3: Cross multiply
    188,713.22x = 260,428.21 × 103,830.44
  4. Step 4: Simplify right side
    188,713.22x = 27,040,375,632.71
  5. Step 5: Solve for x
    x = 27,040,375,632.71/188,713.22
  6. Step 6: Final answer
    x = 143,288.19

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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.