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Finding the Fourth Proportional to 61,409.20, 92,016.60 and 51,494.80

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Solution

The fourth proportional to 61,409.20, 92,016.60 and 51,494.80 is: 77,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,409.20 : 92,016.60 = 51,494.80 : x
  2. Step 2: Convert to fraction form
    61,409.20/92,016.60 = 51,494.80/x
  3. Step 3: Cross multiply
    61,409.20x = 92,016.60 × 51,494.80
  4. Step 4: Simplify right side
    61,409.20x = 4,738,376,413.68
  5. Step 5: Solve for x
    x = 4,738,376,413.68/61,409.20
  6. Step 6: Final answer
    x = 77,160.69

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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.