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Finding the Fourth Proportional to 205,876.13, 308,839.10 and 72,729.14

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Solution

The fourth proportional to 205,876.13, 308,839.10 and 72,729.14 is: 109,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,876.13 : 308,839.10 = 72,729.14 : x
  2. Step 2: Convert to fraction form
    205,876.13/308,839.10 = 72,729.14/x
  3. Step 3: Cross multiply
    205,876.13x = 308,839.10 × 72,729.14
  4. Step 4: Simplify right side
    205,876.13x = 22,461,602,141.37
  5. Step 5: Solve for x
    x = 22,461,602,141.37/205,876.13
  6. Step 6: Final answer
    x = 109,102.51

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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.