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Finding the Fourth Proportional to 270,708.18, 405,983.42 and 81,160.98

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Solution

The fourth proportional to 270,708.18, 405,983.42 and 81,160.98 is: 121,717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,708.18 : 405,983.42 = 81,160.98 : x
  2. Step 2: Convert to fraction form
    270,708.18/405,983.42 = 81,160.98/x
  3. Step 3: Cross multiply
    270,708.18x = 405,983.42 × 81,160.98
  4. Step 4: Simplify right side
    270,708.18x = 32,950,012,230.95
  5. Step 5: Solve for x
    x = 32,950,012,230.95/270,708.18
  6. Step 6: Final answer
    x = 121,717.83

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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.