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Finding the Fourth Proportional to 205,581.84, 308,489.40 and 81,010.32

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Solution

The fourth proportional to 205,581.84, 308,489.40 and 81,010.32 is: 121,561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,581.84 : 308,489.40 = 81,010.32 : x
  2. Step 2: Convert to fraction form
    205,581.84/308,489.40 = 81,010.32/x
  3. Step 3: Cross multiply
    205,581.84x = 308,489.40 × 81,010.32
  4. Step 4: Simplify right side
    205,581.84x = 24,990,825,010.61
  5. Step 5: Solve for x
    x = 24,990,825,010.61/205,581.84
  6. Step 6: Final answer
    x = 121,561.44

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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.