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Finding the Fourth Proportional to 205,878.13, 308,842.10 and 72,731.14

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Solution

The fourth proportional to 205,878.13, 308,842.10 and 72,731.14 is: 109,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,878.13 : 308,842.10 = 72,731.14 : x
  2. Step 2: Convert to fraction form
    205,878.13/308,842.10 = 72,731.14/x
  3. Step 3: Cross multiply
    205,878.13x = 308,842.10 × 72,731.14
  4. Step 4: Simplify right side
    205,878.13x = 22,462,438,012.99
  5. Step 5: Solve for x
    x = 22,462,438,012.99/205,878.13
  6. Step 6: Final answer
    x = 109,105.51

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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.