Home / 142,844.08-197,123.28-82,414

Finding the Fourth Proportional to 142,844.08, 197,123.28 and 82,414

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Solution

The fourth proportional to 142,844.08, 197,123.28 and 82,414 is: 113,730.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,844.08 : 197,123.28 = 82,414 : x
  2. Step 2: Convert to fraction form
    142,844.08/197,123.28 = 82,414/x
  3. Step 3: Cross multiply
    142,844.08x = 197,123.28 × 82,414
  4. Step 4: Simplify right side
    142,844.08x = 16,245,717,997.92
  5. Step 5: Solve for x
    x = 16,245,717,997.92/142,844.08
  6. Step 6: Final answer
    x = 113,730.43

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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.