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Finding the Fourth Proportional to 188,195.52, 259,708.70 and 102,156.22

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Solution

The fourth proportional to 188,195.52, 259,708.70 and 102,156.22 is: 140,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,195.52 : 259,708.70 = 102,156.22 : x
  2. Step 2: Convert to fraction form
    188,195.52/259,708.70 = 102,156.22/x
  3. Step 3: Cross multiply
    188,195.52x = 259,708.70 × 102,156.22
  4. Step 4: Simplify right side
    188,195.52x = 26,530,859,093.11
  5. Step 5: Solve for x
    x = 26,530,859,093.11/188,195.52
  6. Step 6: Final answer
    x = 140,974.98

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1.5x scale

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.