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Finding the Fourth Proportional to 120,380.66, 166,179.65 and 77,422.58

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Solution

The fourth proportional to 120,380.66, 166,179.65 and 77,422.58 is: 106,878.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,380.66 : 166,179.65 = 77,422.58 : x
  2. Step 2: Convert to fraction form
    120,380.66/166,179.65 = 77,422.58/x
  3. Step 3: Cross multiply
    120,380.66x = 166,179.65 × 77,422.58
  4. Step 4: Simplify right side
    120,380.66x = 12,866,057,246.50
  5. Step 5: Solve for x
    x = 12,866,057,246.50/120,380.66
  6. Step 6: Final answer
    x = 106,878.11

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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.