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Finding the Fourth Proportional to 98,413.29, 135,810 and 55,392.75

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Solution

The fourth proportional to 98,413.29, 135,810 and 55,392.75 is: 76,441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,413.29 : 135,810 = 55,392.75 : x
  2. Step 2: Convert to fraction form
    98,413.29/135,810 = 55,392.75/x
  3. Step 3: Cross multiply
    98,413.29x = 135,810 × 55,392.75
  4. Step 4: Simplify right side
    98,413.29x = 7,522,889,886.79
  5. Step 5: Solve for x
    x = 7,522,889,886.79/98,413.29
  6. Step 6: Final answer
    x = 76,441.81

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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.