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Finding the Fourth Proportional to 278,705, 418,126.94 and 81,713

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Solution

The fourth proportional to 278,705, 418,126.94 and 81,713 is: 122,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,705 : 418,126.94 = 81,713 : x
  2. Step 2: Convert to fraction form
    278,705/418,126.94 = 81,713/x
  3. Step 3: Cross multiply
    278,705x = 418,126.94 × 81,713
  4. Step 4: Simplify right side
    278,705x = 34,166,406,648.22
  5. Step 5: Solve for x
    x = 34,166,406,648.22/278,705
  6. Step 6: Final answer
    x = 122,589.86

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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.