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Finding the Fourth Proportional to 120,920.40, 181,195.80 and 81,330.96

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Solution

The fourth proportional to 120,920.40, 181,195.80 and 81,330.96 is: 121,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,920.40 : 181,195.80 = 81,330.96 : x
  2. Step 2: Convert to fraction form
    120,920.40/181,195.80 = 81,330.96/x
  3. Step 3: Cross multiply
    120,920.40x = 181,195.80 × 81,330.96
  4. Step 4: Simplify right side
    120,920.40x = 14,736,828,361.97
  5. Step 5: Solve for x
    x = 14,736,828,361.97/120,920.40
  6. Step 6: Final answer
    x = 121,872.14

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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.