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Finding the Fourth Proportional to 89,691.84, 123,782.40 and 49,413.12

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Solution

The fourth proportional to 89,691.84, 123,782.40 and 49,413.12 is: 68,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,691.84 : 123,782.40 = 49,413.12 : x
  2. Step 2: Convert to fraction form
    89,691.84/123,782.40 = 49,413.12/x
  3. Step 3: Cross multiply
    89,691.84x = 123,782.40 × 49,413.12
  4. Step 4: Simplify right side
    89,691.84x = 6,116,474,585.09
  5. Step 5: Solve for x
    x = 6,116,474,585.09/89,691.84
  6. Step 6: Final answer
    x = 68,194.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.