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Finding the Fourth Proportional to 12,867,162.18, 19,304,478.80 and 5,186,843.43

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Solution

The fourth proportional to 12,867,162.18, 19,304,478.80 and 5,186,843.43 is: 7,781,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867,162.18 : 19,304,478.80 = 5,186,843.43 : x
  2. Step 2: Convert to fraction form
    12,867,162.18/19,304,478.80 = 5,186,843.43/x
  3. Step 3: Cross multiply
    12,867,162.18x = 19,304,478.80 × 5,186,843.43
  4. Step 4: Simplify right side
    12,867,162.18x = 100,129,309,033,354.28
  5. Step 5: Solve for x
    x = 100,129,309,033,354.28/12,867,162.18
  6. Step 6: Final answer
    x = 7,781,770.96

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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.