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Finding the Fourth Proportional to 188,290.17, 259,765.31 and 120,289.51

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Solution

The fourth proportional to 188,290.17, 259,765.31 and 120,289.51 is: 165,951.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,290.17 : 259,765.31 = 120,289.51 : x
  2. Step 2: Convert to fraction form
    188,290.17/259,765.31 = 120,289.51/x
  3. Step 3: Cross multiply
    188,290.17x = 259,765.31 × 120,289.51
  4. Step 4: Simplify right side
    188,290.17x = 31,247,041,854.90
  5. Step 5: Solve for x
    x = 31,247,041,854.90/188,290.17
  6. Step 6: Final answer
    x = 165,951.53

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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.