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Finding the Fourth Proportional to 120,597.12, 180,891.90 and 31,851.09

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Solution

The fourth proportional to 120,597.12, 180,891.90 and 31,851.09 is: 47,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,597.12 : 180,891.90 = 31,851.09 : x
  2. Step 2: Convert to fraction form
    120,597.12/180,891.90 = 31,851.09/x
  3. Step 3: Cross multiply
    120,597.12x = 180,891.90 × 31,851.09
  4. Step 4: Simplify right side
    120,597.12x = 5,761,604,187.17
  5. Step 5: Solve for x
    x = 5,761,604,187.17/120,597.12
  6. Step 6: Final answer
    x = 47,775.64

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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.