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Finding the Fourth Proportional to 188,499.29, 282,769.54 and 81,809.91

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Solution

The fourth proportional to 188,499.29, 282,769.54 and 81,809.91 is: 122,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,499.29 : 282,769.54 = 81,809.91 : x
  2. Step 2: Convert to fraction form
    188,499.29/282,769.54 = 81,809.91/x
  3. Step 3: Cross multiply
    188,499.29x = 282,769.54 × 81,809.91
  4. Step 4: Simplify right side
    188,499.29x = 23,133,350,413.62
  5. Step 5: Solve for x
    x = 23,133,350,413.62/188,499.29
  6. Step 6: Final answer
    x = 122,723.81

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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.