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Finding the Fourth Proportional to 188,187, 259,701.11 and 102,147.69

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Solution

The fourth proportional to 188,187, 259,701.11 and 102,147.69 is: 140,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,187 : 259,701.11 = 102,147.69 : x
  2. Step 2: Convert to fraction form
    188,187/259,701.11 = 102,147.69/x
  3. Step 3: Cross multiply
    188,187x = 259,701.11 × 102,147.69
  4. Step 4: Simplify right side
    188,187x = 26,527,867,966.20
  5. Step 5: Solve for x
    x = 26,527,867,966.20/188,187
  6. Step 6: Final answer
    x = 140,965.47

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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.