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Finding the Fourth Proportional to 205,687.05, 308,553.26 and 65,412.87

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Solution

The fourth proportional to 205,687.05, 308,553.26 and 65,412.87 is: 98,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,687.05 : 308,553.26 = 65,412.87 : x
  2. Step 2: Convert to fraction form
    205,687.05/308,553.26 = 65,412.87/x
  3. Step 3: Cross multiply
    205,687.05x = 308,553.26 × 65,412.87
  4. Step 4: Simplify right side
    205,687.05x = 20,183,353,957.39
  5. Step 5: Solve for x
    x = 20,183,353,957.39/205,687.05
  6. Step 6: Final answer
    x = 98,126.52

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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.