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Finding the Fourth Proportional to 205,791.20, 308,665.92 and 139,656.32

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Solution

The fourth proportional to 205,791.20, 308,665.92 and 139,656.32 is: 209,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,791.20 : 308,665.92 = 139,656.32 : x
  2. Step 2: Convert to fraction form
    205,791.20/308,665.92 = 139,656.32/x
  3. Step 3: Cross multiply
    205,791.20x = 308,665.92 × 139,656.32
  4. Step 4: Simplify right side
    205,791.20x = 43,107,146,496.61
  5. Step 5: Solve for x
    x = 43,107,146,496.61/205,791.20
  6. Step 6: Final answer
    x = 209,470.31

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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.