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Finding the Fourth Proportional to 188,212.77, 259,733.79 and 102,171.69

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Solution

The fourth proportional to 188,212.77, 259,733.79 and 102,171.69 is: 140,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,212.77 : 259,733.79 = 102,171.69 : x
  2. Step 2: Convert to fraction form
    188,212.77/259,733.79 = 102,171.69/x
  3. Step 3: Cross multiply
    188,212.77x = 259,733.79 × 102,171.69
  4. Step 4: Simplify right side
    188,212.77x = 26,537,440,274.41
  5. Step 5: Solve for x
    x = 26,537,440,274.41/188,212.77
  6. Step 6: Final answer
    x = 140,997.02

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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.