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Finding the Fourth Proportional to 128,855.96, 193,297.16 and 44,616

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Solution

The fourth proportional to 128,855.96, 193,297.16 and 44,616 is: 66,928.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,855.96 : 193,297.16 = 44,616 : x
  2. Step 2: Convert to fraction form
    128,855.96/193,297.16 = 44,616/x
  3. Step 3: Cross multiply
    128,855.96x = 193,297.16 × 44,616
  4. Step 4: Simplify right side
    128,855.96x = 8,624,146,090.56
  5. Step 5: Solve for x
    x = 8,624,146,090.56/128,855.96
  6. Step 6: Final answer
    x = 66,928.58

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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.