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Finding the Fourth Proportional to 103,660.85, 155,515.77 and 33,540.16

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Solution

The fourth proportional to 103,660.85, 155,515.77 and 33,540.16 is: 50,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,660.85 : 155,515.77 = 33,540.16 : x
  2. Step 2: Convert to fraction form
    103,660.85/155,515.77 = 33,540.16/x
  3. Step 3: Cross multiply
    103,660.85x = 155,515.77 × 33,540.16
  4. Step 4: Simplify right side
    103,660.85x = 5,216,023,808.32
  5. Step 5: Solve for x
    x = 5,216,023,808.32/103,660.85
  6. Step 6: Final answer
    x = 50,318.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.