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Finding the Fourth Proportional to 259,548.70, 389,250.15 and 82,110.10

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Solution

The fourth proportional to 259,548.70, 389,250.15 and 82,110.10 is: 123,142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,548.70 : 389,250.15 = 82,110.10 : x
  2. Step 2: Convert to fraction form
    259,548.70/389,250.15 = 82,110.10/x
  3. Step 3: Cross multiply
    259,548.70x = 389,250.15 × 82,110.10
  4. Step 4: Simplify right side
    259,548.70x = 31,961,368,741.52
  5. Step 5: Solve for x
    x = 31,961,368,741.52/259,548.70
  6. Step 6: Final answer
    x = 123,142.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.