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Finding the Fourth Proportional to 205,042.48, 307,662 and 111,548.08

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Solution

The fourth proportional to 205,042.48, 307,662 and 111,548.08 is: 167,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,042.48 : 307,662 = 111,548.08 : x
  2. Step 2: Convert to fraction form
    205,042.48/307,662 = 111,548.08/x
  3. Step 3: Cross multiply
    205,042.48x = 307,662 × 111,548.08
  4. Step 4: Simplify right side
    205,042.48x = 34,319,105,388.96
  5. Step 5: Solve for x
    x = 34,319,105,388.96/205,042.48
  6. Step 6: Final answer
    x = 167,375.59

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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.