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Finding the Fourth Proportional to 188,230.77, 259,758.63 and 102,189.69

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Solution

The fourth proportional to 188,230.77, 259,758.63 and 102,189.69 is: 141,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,230.77 : 259,758.63 = 102,189.69 : x
  2. Step 2: Convert to fraction form
    188,230.77/259,758.63 = 102,189.69/x
  3. Step 3: Cross multiply
    188,230.77x = 259,758.63 × 102,189.69
  4. Step 4: Simplify right side
    188,230.77x = 26,544,653,874.52
  5. Step 5: Solve for x
    x = 26,544,653,874.52/188,230.77
  6. Step 6: Final answer
    x = 141,021.86

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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.