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Finding the Fourth Proportional to 260,029.80, 390,044.70 and 82,550.70

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Solution

The fourth proportional to 260,029.80, 390,044.70 and 82,550.70 is: 123,826.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,029.80 : 390,044.70 = 82,550.70 : x
  2. Step 2: Convert to fraction form
    260,029.80/390,044.70 = 82,550.70/x
  3. Step 3: Cross multiply
    260,029.80x = 390,044.70 × 82,550.70
  4. Step 4: Simplify right side
    260,029.80x = 32,198,463,016.29
  5. Step 5: Solve for x
    x = 32,198,463,016.29/260,029.80
  6. Step 6: Final answer
    x = 123,826.05

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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.