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Finding the Fourth Proportional to 55,133, 82,688.52 and 15,690.44

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Solution

The fourth proportional to 55,133, 82,688.52 and 15,690.44 is: 23,532.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,133 : 82,688.52 = 15,690.44 : x
  2. Step 2: Convert to fraction form
    55,133/82,688.52 = 15,690.44/x
  3. Step 3: Cross multiply
    55,133x = 82,688.52 × 15,690.44
  4. Step 4: Simplify right side
    55,133x = 1,297,419,261.75
  5. Step 5: Solve for x
    x = 1,297,419,261.75/55,133
  6. Step 6: Final answer
    x = 23,532.54

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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.