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Finding the Fourth Proportional to 135,609.25, 203,413.89 and 52,503.25

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Solution

The fourth proportional to 135,609.25, 203,413.89 and 52,503.25 is: 78,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,609.25 : 203,413.89 = 52,503.25 : x
  2. Step 2: Convert to fraction form
    135,609.25/203,413.89 = 52,503.25/x
  3. Step 3: Cross multiply
    135,609.25x = 203,413.89 × 52,503.25
  4. Step 4: Simplify right side
    135,609.25x = 10,679,890,320.14
  5. Step 5: Solve for x
    x = 10,679,890,320.14/135,609.25
  6. Step 6: Final answer
    x = 78,754.88

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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.