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Finding the Fourth Proportional to 55,165.80, 82,790.46 and 40,413.06

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Solution

The fourth proportional to 55,165.80, 82,790.46 and 40,413.06 is: 60,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,165.80 : 82,790.46 = 40,413.06 : x
  2. Step 2: Convert to fraction form
    55,165.80/82,790.46 = 40,413.06/x
  3. Step 3: Cross multiply
    55,165.80x = 82,790.46 × 40,413.06
  4. Step 4: Simplify right side
    55,165.80x = 3,345,815,827.41
  5. Step 5: Solve for x
    x = 3,345,815,827.41/55,165.80
  6. Step 6: Final answer
    x = 60,650.18

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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.