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Finding the Fourth Proportional to 259,835.85, 389,764.71 and 82,349.87

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Solution

The fourth proportional to 259,835.85, 389,764.71 and 82,349.87 is: 123,528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,835.85 : 389,764.71 = 82,349.87 : x
  2. Step 2: Convert to fraction form
    259,835.85/389,764.71 = 82,349.87/x
  3. Step 3: Cross multiply
    259,835.85x = 389,764.71 × 82,349.87
  4. Step 4: Simplify right side
    259,835.85x = 32,097,071,250.26
  5. Step 5: Solve for x
    x = 32,097,071,250.26/259,835.85
  6. Step 6: Final answer
    x = 123,528.26

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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.