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Finding the Fourth Proportional to 120,890.32, 166,780.84 and 69,893.68

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Solution

The fourth proportional to 120,890.32, 166,780.84 and 69,893.68 is: 96,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,890.32 : 166,780.84 = 69,893.68 : x
  2. Step 2: Convert to fraction form
    120,890.32/166,780.84 = 69,893.68/x
  3. Step 3: Cross multiply
    120,890.32x = 166,780.84 × 69,893.68
  4. Step 4: Simplify right side
    120,890.32x = 11,656,926,661.09
  5. Step 5: Solve for x
    x = 11,656,926,661.09/120,890.32
  6. Step 6: Final answer
    x = 96,425.64

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1.5x scale

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.