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Finding the Fourth Proportional to 142,425.78, 196,597.04 and 82,020.47

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Solution

The fourth proportional to 142,425.78, 196,597.04 and 82,020.47 is: 113,216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,425.78 : 196,597.04 = 82,020.47 : x
  2. Step 2: Convert to fraction form
    142,425.78/196,597.04 = 82,020.47/x
  3. Step 3: Cross multiply
    142,425.78x = 196,597.04 × 82,020.47
  4. Step 4: Simplify right side
    142,425.78x = 16,124,980,965.56
  5. Step 5: Solve for x
    x = 16,124,980,965.56/142,425.78
  6. Step 6: Final answer
    x = 113,216.73

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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.