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Finding the Fourth Proportional to 205,655.64, 283,819.25 and 115,020.04

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Solution

The fourth proportional to 205,655.64, 283,819.25 and 115,020.04 is: 158,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,655.64 : 283,819.25 = 115,020.04 : x
  2. Step 2: Convert to fraction form
    205,655.64/283,819.25 = 115,020.04/x
  3. Step 3: Cross multiply
    205,655.64x = 283,819.25 × 115,020.04
  4. Step 4: Simplify right side
    205,655.64x = 32,644,901,487.77
  5. Step 5: Solve for x
    x = 32,644,901,487.77/205,655.64
  6. Step 6: Final answer
    x = 158,735.75

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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.