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Finding the Fourth Proportional to 181,808.82, 250,893.77 and 100,135.50

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Solution

The fourth proportional to 181,808.82, 250,893.77 and 100,135.50 is: 138,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,808.82 : 250,893.77 = 100,135.50 : x
  2. Step 2: Convert to fraction form
    181,808.82/250,893.77 = 100,135.50/x
  3. Step 3: Cross multiply
    181,808.82x = 250,893.77 × 100,135.50
  4. Step 4: Simplify right side
    181,808.82x = 25,123,373,105.84
  5. Step 5: Solve for x
    x = 25,123,373,105.84/181,808.82
  6. Step 6: Final answer
    x = 138,185.67

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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.