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Finding the Fourth Proportional to 81,396.64, 122,096.58 and 53,494.57

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Solution

The fourth proportional to 81,396.64, 122,096.58 and 53,494.57 is: 80,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,396.64 : 122,096.58 = 53,494.57 : x
  2. Step 2: Convert to fraction form
    81,396.64/122,096.58 = 53,494.57/x
  3. Step 3: Cross multiply
    81,396.64x = 122,096.58 × 53,494.57
  4. Step 4: Simplify right side
    81,396.64x = 6,531,504,045.57
  5. Step 5: Solve for x
    x = 6,531,504,045.57/81,396.64
  6. Step 6: Final answer
    x = 80,242.92

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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.