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Finding the Fourth Proportional to 259,549.70, 389,251.65 and 82,111.10

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Solution

The fourth proportional to 259,549.70, 389,251.65 and 82,111.10 is: 123,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,549.70 : 389,251.65 = 82,111.10 : x
  2. Step 2: Convert to fraction form
    259,549.70/389,251.65 = 82,111.10/x
  3. Step 3: Cross multiply
    259,549.70x = 389,251.65 × 82,111.10
  4. Step 4: Simplify right side
    259,549.70x = 31,961,881,158.32
  5. Step 5: Solve for x
    x = 31,961,881,158.32/259,549.70
  6. Step 6: Final answer
    x = 123,143.59

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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.