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Finding the Fourth Proportional to 120,718.90, 180,911.58 and 45,759.48

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Solution

The fourth proportional to 120,718.90, 180,911.58 and 45,759.48 is: 68,576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,718.90 : 180,911.58 = 45,759.48 : x
  2. Step 2: Convert to fraction form
    120,718.90/180,911.58 = 45,759.48/x
  3. Step 3: Cross multiply
    120,718.90x = 180,911.58 × 45,759.48
  4. Step 4: Simplify right side
    120,718.90x = 8,278,419,826.78
  5. Step 5: Solve for x
    x = 8,278,419,826.78/120,718.90
  6. Step 6: Final answer
    x = 68,576.00

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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.