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Finding the Fourth Proportional to 217,413.84, 299,904 and 136,713.60

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Solution

The fourth proportional to 217,413.84, 299,904 and 136,713.60 is: 188,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,413.84 : 299,904 = 136,713.60 : x
  2. Step 2: Convert to fraction form
    217,413.84/299,904 = 136,713.60/x
  3. Step 3: Cross multiply
    217,413.84x = 299,904 × 136,713.60
  4. Step 4: Simplify right side
    217,413.84x = 41,000,955,494.40
  5. Step 5: Solve for x
    x = 41,000,955,494.40/217,413.84
  6. Step 6: Final answer
    x = 188,584.85

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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.