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Finding the Fourth Proportional to 120,787.56, 181,069.56 and 45,885.24

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Solution

The fourth proportional to 120,787.56, 181,069.56 and 45,885.24 is: 68,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,787.56 : 181,069.56 = 45,885.24 : x
  2. Step 2: Convert to fraction form
    120,787.56/181,069.56 = 45,885.24/x
  3. Step 3: Cross multiply
    120,787.56x = 181,069.56 × 45,885.24
  4. Step 4: Simplify right side
    120,787.56x = 8,308,420,217.29
  5. Step 5: Solve for x
    x = 8,308,420,217.29/120,787.56
  6. Step 6: Final answer
    x = 68,785.40

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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.