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Finding the Fourth Proportional to 205,762.29, 308,680.29 and 72,719.79

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Solution

The fourth proportional to 205,762.29, 308,680.29 and 72,719.79 is: 109,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,762.29 : 308,680.29 = 72,719.79 : x
  2. Step 2: Convert to fraction form
    205,762.29/308,680.29 = 72,719.79/x
  3. Step 3: Cross multiply
    205,762.29x = 308,680.29 × 72,719.79
  4. Step 4: Simplify right side
    205,762.29x = 22,447,165,865.94
  5. Step 5: Solve for x
    x = 22,447,165,865.94/205,762.29
  6. Step 6: Final answer
    x = 109,092.71

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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.