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Finding the Fourth Proportional to 205,851.11, 308,721.11 and 72,713.84

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Solution

The fourth proportional to 205,851.11, 308,721.11 and 72,713.84 is: 109,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,851.11 : 308,721.11 = 72,713.84 : x
  2. Step 2: Convert to fraction form
    205,851.11/308,721.11 = 72,713.84/x
  3. Step 3: Cross multiply
    205,851.11x = 308,721.11 × 72,713.84
  4. Step 4: Simplify right side
    205,851.11x = 22,448,295,489.99
  5. Step 5: Solve for x
    x = 22,448,295,489.99/205,851.11
  6. Step 6: Final answer
    x = 109,051.13

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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.