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Finding the Fourth Proportional to 205,049.52, 307,590.33 and 55,287.51

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Solution

The fourth proportional to 205,049.52, 307,590.33 and 55,287.51 is: 82,935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,049.52 : 307,590.33 = 55,287.51 : x
  2. Step 2: Convert to fraction form
    205,049.52/307,590.33 = 55,287.51/x
  3. Step 3: Cross multiply
    205,049.52x = 307,590.33 × 55,287.51
  4. Step 4: Simplify right side
    205,049.52x = 17,005,903,445.78
  5. Step 5: Solve for x
    x = 17,005,903,445.78/205,049.52
  6. Step 6: Final answer
    x = 82,935.59

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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.