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Finding the Fourth Proportional to 259,764.90, 389,683.80 and 82,253.40

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Solution

The fourth proportional to 259,764.90, 389,683.80 and 82,253.40 is: 123,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,764.90 : 389,683.80 = 82,253.40 : x
  2. Step 2: Convert to fraction form
    259,764.90/389,683.80 = 82,253.40/x
  3. Step 3: Cross multiply
    259,764.90x = 389,683.80 × 82,253.40
  4. Step 4: Simplify right side
    259,764.90x = 32,052,817,474.92
  5. Step 5: Solve for x
    x = 32,052,817,474.92/259,764.90
  6. Step 6: Final answer
    x = 123,391.64

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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.