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Finding the Fourth Proportional to 260,030.80, 390,046.20 and 82,551.70

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Solution

The fourth proportional to 260,030.80, 390,046.20 and 82,551.70 is: 123,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,030.80 : 390,046.20 = 82,551.70 : x
  2. Step 2: Convert to fraction form
    260,030.80/390,046.20 = 82,551.70/x
  3. Step 3: Cross multiply
    260,030.80x = 390,046.20 × 82,551.70
  4. Step 4: Simplify right side
    260,030.80x = 32,198,976,888.54
  5. Step 5: Solve for x
    x = 32,198,976,888.54/260,030.80
  6. Step 6: Final answer
    x = 123,827.55

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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.