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Finding the Fourth Proportional to 142,678, 196,895.22 and 82,248.31

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Solution

The fourth proportional to 142,678, 196,895.22 and 82,248.31 is: 113,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,678 : 196,895.22 = 82,248.31 : x
  2. Step 2: Convert to fraction form
    142,678/196,895.22 = 82,248.31/x
  3. Step 3: Cross multiply
    142,678x = 196,895.22 × 82,248.31
  4. Step 4: Simplify right side
    142,678x = 16,194,299,092.08
  5. Step 5: Solve for x
    x = 16,194,299,092.08/142,678
  6. Step 6: Final answer
    x = 113,502.43

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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.