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Finding the Fourth Proportional to 205,646.88, 308,355.70 and 63,451.79

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Solution

The fourth proportional to 205,646.88, 308,355.70 and 63,451.79 is: 95,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,646.88 : 308,355.70 = 63,451.79 : x
  2. Step 2: Convert to fraction form
    205,646.88/308,355.70 = 63,451.79/x
  3. Step 3: Cross multiply
    205,646.88x = 308,355.70 × 63,451.79
  4. Step 4: Simplify right side
    205,646.88x = 19,565,721,121.70
  5. Step 5: Solve for x
    x = 19,565,721,121.70/205,646.88
  6. Step 6: Final answer
    x = 95,142.32

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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.