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Finding the Fourth Proportional to 205,881.11, 308,846.59 and 72,734.12

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Solution

The fourth proportional to 205,881.11, 308,846.59 and 72,734.12 is: 109,109.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,881.11 : 308,846.59 = 72,734.12 : x
  2. Step 2: Convert to fraction form
    205,881.11/308,846.59 = 72,734.12/x
  3. Step 3: Cross multiply
    205,881.11x = 308,846.59 × 72,734.12
  4. Step 4: Simplify right side
    205,881.11x = 22,463,684,938.65
  5. Step 5: Solve for x
    x = 22,463,684,938.65/205,881.11
  6. Step 6: Final answer
    x = 109,109.99

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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.