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Finding the Fourth Proportional to 205,192.67, 307,886.48 and 142,109.87

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Solution

The fourth proportional to 205,192.67, 307,886.48 and 142,109.87 is: 213,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,192.67 : 307,886.48 = 142,109.87 : x
  2. Step 2: Convert to fraction form
    205,192.67/307,886.48 = 142,109.87/x
  3. Step 3: Cross multiply
    205,192.67x = 307,886.48 × 142,109.87
  4. Step 4: Simplify right side
    205,192.67x = 43,753,707,647.56
  5. Step 5: Solve for x
    x = 43,753,707,647.56/205,192.67
  6. Step 6: Final answer
    x = 213,232.31

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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.