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Finding the Fourth Proportional to 205,654.89, 283,818.21 and 115,019.29

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Solution

The fourth proportional to 205,654.89, 283,818.21 and 115,019.29 is: 158,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,654.89 : 283,818.21 = 115,019.29 : x
  2. Step 2: Convert to fraction form
    205,654.89/283,818.21 = 115,019.29/x
  3. Step 3: Cross multiply
    205,654.89x = 283,818.21 × 115,019.29
  4. Step 4: Simplify right side
    205,654.89x = 32,644,567,009.08
  5. Step 5: Solve for x
    x = 32,644,567,009.08/205,654.89
  6. Step 6: Final answer
    x = 158,734.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.