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Finding the Fourth Proportional to 143,099.59, 197,486.63 and 82,672.78

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Solution

The fourth proportional to 143,099.59, 197,486.63 and 82,672.78 is: 114,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,099.59 : 197,486.63 = 82,672.78 : x
  2. Step 2: Convert to fraction form
    143,099.59/197,486.63 = 82,672.78/x
  3. Step 3: Cross multiply
    143,099.59x = 197,486.63 × 82,672.78
  4. Step 4: Simplify right side
    143,099.59x = 16,326,768,714.93
  5. Step 5: Solve for x
    x = 16,326,768,714.93/143,099.59
  6. Step 6: Final answer
    x = 114,093.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.