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Finding the Fourth Proportional to 120,498, 166,284.72 and 66,782.54

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Solution

The fourth proportional to 120,498, 166,284.72 and 66,782.54 is: 92,158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,498 : 166,284.72 = 66,782.54 : x
  2. Step 2: Convert to fraction form
    120,498/166,284.72 = 66,782.54/x
  3. Step 3: Cross multiply
    120,498x = 166,284.72 × 66,782.54
  4. Step 4: Simplify right side
    120,498x = 11,104,915,964.79
  5. Step 5: Solve for x
    x = 11,104,915,964.79/120,498
  6. Step 6: Final answer
    x = 92,158.51

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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.