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Finding the Fourth Proportional to 205,761.79, 308,679.54 and 72,719.29

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Solution

The fourth proportional to 205,761.79, 308,679.54 and 72,719.29 is: 109,091.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,761.79 : 308,679.54 = 72,719.29 : x
  2. Step 2: Convert to fraction form
    205,761.79/308,679.54 = 72,719.29/x
  3. Step 3: Cross multiply
    205,761.79x = 308,679.54 × 72,719.29
  4. Step 4: Simplify right side
    205,761.79x = 22,446,956,986.33
  5. Step 5: Solve for x
    x = 22,446,956,986.33/205,761.79
  6. Step 6: Final answer
    x = 109,091.96

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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.