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Finding the Fourth Proportional to 205,585.34, 308,494.65 and 81,013.82

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Solution

The fourth proportional to 205,585.34, 308,494.65 and 81,013.82 is: 121,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,585.34 : 308,494.65 = 81,013.82 : x
  2. Step 2: Convert to fraction form
    205,585.34/308,494.65 = 81,013.82/x
  3. Step 3: Cross multiply
    205,585.34x = 308,494.65 × 81,013.82
  4. Step 4: Simplify right side
    205,585.34x = 24,992,330,046.06
  5. Step 5: Solve for x
    x = 24,992,330,046.06/205,585.34
  6. Step 6: Final answer
    x = 121,566.69

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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.