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Finding the Fourth Proportional to 120,874.01, 166,671.61 and 82,639.76

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Solution

The fourth proportional to 120,874.01, 166,671.61 and 82,639.76 is: 113,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,874.01 : 166,671.61 = 82,639.76 : x
  2. Step 2: Convert to fraction form
    120,874.01/166,671.61 = 82,639.76/x
  3. Step 3: Cross multiply
    120,874.01x = 166,671.61 × 82,639.76
  4. Step 4: Simplify right side
    120,874.01x = 13,773,700,809.26
  5. Step 5: Solve for x
    x = 13,773,700,809.26/120,874.01
  6. Step 6: Final answer
    x = 113,950.89

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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.