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Finding the Fourth Proportional to 90,413.96, 135,489.71 and 50,886.66

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Solution

The fourth proportional to 90,413.96, 135,489.71 and 50,886.66 is: 76,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,413.96 : 135,489.71 = 50,886.66 : x
  2. Step 2: Convert to fraction form
    90,413.96/135,489.71 = 50,886.66/x
  3. Step 3: Cross multiply
    90,413.96x = 135,489.71 × 50,886.66
  4. Step 4: Simplify right side
    90,413.96x = 6,894,619,441.57
  5. Step 5: Solve for x
    x = 6,894,619,441.57/90,413.96
  6. Step 6: Final answer
    x = 76,256.14

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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.