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Finding the Fourth Proportional to 113,768.60, 170,652.90 and 82,275.80

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Solution

The fourth proportional to 113,768.60, 170,652.90 and 82,275.80 is: 123,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,768.60 : 170,652.90 = 82,275.80 : x
  2. Step 2: Convert to fraction form
    113,768.60/170,652.90 = 82,275.80/x
  3. Step 3: Cross multiply
    113,768.60x = 170,652.90 × 82,275.80
  4. Step 4: Simplify right side
    113,768.60x = 14,040,603,869.82
  5. Step 5: Solve for x
    x = 14,040,603,869.82/113,768.60
  6. Step 6: Final answer
    x = 123,413.70

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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.