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Finding the Fourth Proportional to 81,598.62, 122,403.84 and 34,166

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Solution

The fourth proportional to 81,598.62, 122,403.84 and 34,166 is: 51,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,598.62 : 122,403.84 = 34,166 : x
  2. Step 2: Convert to fraction form
    81,598.62/122,403.84 = 34,166/x
  3. Step 3: Cross multiply
    81,598.62x = 122,403.84 × 34,166
  4. Step 4: Simplify right side
    81,598.62x = 4,182,049,597.44
  5. Step 5: Solve for x
    x = 4,182,049,597.44/81,598.62
  6. Step 6: Final answer
    x = 51,251.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.