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Finding the Fourth Proportional to 205,132.88, 307,743.80 and 62,978.64

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Solution

The fourth proportional to 205,132.88, 307,743.80 and 62,978.64 is: 94,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,132.88 : 307,743.80 = 62,978.64 : x
  2. Step 2: Convert to fraction form
    205,132.88/307,743.80 = 62,978.64/x
  3. Step 3: Cross multiply
    205,132.88x = 307,743.80 × 62,978.64
  4. Step 4: Simplify right side
    205,132.88x = 19,381,285,992.43
  5. Step 5: Solve for x
    x = 19,381,285,992.43/205,132.88
  6. Step 6: Final answer
    x = 94,481.62

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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.