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Finding the Fourth Proportional to 270,584.61, 405,881.57 and 81,000.87

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Solution

The fourth proportional to 270,584.61, 405,881.57 and 81,000.87 is: 121,502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,584.61 : 405,881.57 = 81,000.87 : x
  2. Step 2: Convert to fraction form
    270,584.61/405,881.57 = 81,000.87/x
  3. Step 3: Cross multiply
    270,584.61x = 405,881.57 × 81,000.87
  4. Step 4: Simplify right side
    270,584.61x = 32,876,760,286.97
  5. Step 5: Solve for x
    x = 32,876,760,286.97/270,584.61
  6. Step 6: Final answer
    x = 121,502.70

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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.