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Finding the Fourth Proportional to 129,690.56, 194,532 and 53,781.44

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Solution

The fourth proportional to 129,690.56, 194,532 and 53,781.44 is: 80,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,690.56 : 194,532 = 53,781.44 : x
  2. Step 2: Convert to fraction form
    129,690.56/194,532 = 53,781.44/x
  3. Step 3: Cross multiply
    129,690.56x = 194,532 × 53,781.44
  4. Step 4: Simplify right side
    129,690.56x = 10,462,211,086.08
  5. Step 5: Solve for x
    x = 10,462,211,086.08/129,690.56
  6. Step 6: Final answer
    x = 80,670.57

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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.