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Finding the Fourth Proportional to 142,644.78, 196,848.45 and 82,193.22

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Solution

The fourth proportional to 142,644.78, 196,848.45 and 82,193.22 is: 113,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,644.78 : 196,848.45 = 82,193.22 : x
  2. Step 2: Convert to fraction form
    142,644.78/196,848.45 = 82,193.22/x
  3. Step 3: Cross multiply
    142,644.78x = 196,848.45 × 82,193.22
  4. Step 4: Simplify right side
    142,644.78x = 16,179,607,957.51
  5. Step 5: Solve for x
    x = 16,179,607,957.51/142,644.78
  6. Step 6: Final answer
    x = 113,425.87

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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.