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Finding the Fourth Proportional to 129,202.44, 193,803.66 and 76,452

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Solution

The fourth proportional to 129,202.44, 193,803.66 and 76,452 is: 114,678

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,202.44 : 193,803.66 = 76,452 : x
  2. Step 2: Convert to fraction form
    129,202.44/193,803.66 = 76,452/x
  3. Step 3: Cross multiply
    129,202.44x = 193,803.66 × 76,452
  4. Step 4: Simplify right side
    129,202.44x = 14,816,677,414.32
  5. Step 5: Solve for x
    x = 14,816,677,414.32/129,202.44
  6. Step 6: Final answer
    x = 114,678

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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.