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Finding the Fourth Proportional to 142,996.23, 197,363.52 and 82,576.71

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Solution

The fourth proportional to 142,996.23, 197,363.52 and 82,576.71 is: 113,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,996.23 : 197,363.52 = 82,576.71 : x
  2. Step 2: Convert to fraction form
    142,996.23/197,363.52 = 82,576.71/x
  3. Step 3: Cross multiply
    142,996.23x = 197,363.52 × 82,576.71
  4. Step 4: Simplify right side
    142,996.23x = 16,297,630,155.62
  5. Step 5: Solve for x
    x = 16,297,630,155.62/142,996.23
  6. Step 6: Final answer
    x = 113,972.45

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