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Finding the Fourth Proportional to 120,449.97, 166,298.94 and 77,448.75

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Solution

The fourth proportional to 120,449.97, 166,298.94 and 77,448.75 is: 106,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,449.97 : 166,298.94 = 77,448.75 : x
  2. Step 2: Convert to fraction form
    120,449.97/166,298.94 = 77,448.75/x
  3. Step 3: Cross multiply
    120,449.97x = 166,298.94 × 77,448.75
  4. Step 4: Simplify right side
    120,449.97x = 12,879,645,029.33
  5. Step 5: Solve for x
    x = 12,879,645,029.33/120,449.97
  6. Step 6: Final answer
    x = 106,929.42

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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.