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Finding the Fourth Proportional to 205,584.34, 308,493.15 and 81,012.82

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Solution

The fourth proportional to 205,584.34, 308,493.15 and 81,012.82 is: 121,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,584.34 : 308,493.15 = 81,012.82 : x
  2. Step 2: Convert to fraction form
    205,584.34/308,493.15 = 81,012.82/x
  3. Step 3: Cross multiply
    205,584.34x = 308,493.15 × 81,012.82
  4. Step 4: Simplify right side
    205,584.34x = 24,991,900,032.18
  5. Step 5: Solve for x
    x = 24,991,900,032.18/205,584.34
  6. Step 6: Final answer
    x = 121,565.19

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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.