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Finding the Fourth Proportional to 120,820.82, 180,853.97 and 76,380.98

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Solution

The fourth proportional to 120,820.82, 180,853.97 and 76,380.98 is: 114,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,820.82 : 180,853.97 = 76,380.98 : x
  2. Step 2: Convert to fraction form
    120,820.82/180,853.97 = 76,380.98/x
  3. Step 3: Cross multiply
    120,820.82x = 180,853.97 × 76,380.98
  4. Step 4: Simplify right side
    120,820.82x = 13,813,802,179.32
  5. Step 5: Solve for x
    x = 13,813,802,179.32/120,820.82
  6. Step 6: Final answer
    x = 114,332.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.