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Finding the Fourth Proportional to 192,741.53, 289,123.63 and 74,413.49

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Solution

The fourth proportional to 192,741.53, 289,123.63 and 74,413.49 is: 111,624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,741.53 : 289,123.63 = 74,413.49 : x
  2. Step 2: Convert to fraction form
    192,741.53/289,123.63 = 74,413.49/x
  3. Step 3: Cross multiply
    192,741.53x = 289,123.63 × 74,413.49
  4. Step 4: Simplify right side
    192,741.53x = 21,514,696,718.12
  5. Step 5: Solve for x
    x = 21,514,696,718.12/192,741.53
  6. Step 6: Final answer
    x = 111,624.61

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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.