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Finding the Fourth Proportional to 120,893.56, 180,453.02 and 111,987

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Solution

The fourth proportional to 120,893.56, 180,453.02 and 111,987 is: 167,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,893.56 : 180,453.02 = 111,987 : x
  2. Step 2: Convert to fraction form
    120,893.56/180,453.02 = 111,987/x
  3. Step 3: Cross multiply
    120,893.56x = 180,453.02 × 111,987
  4. Step 4: Simplify right side
    120,893.56x = 20,208,391,790.81
  5. Step 5: Solve for x
    x = 20,208,391,790.81/120,893.56
  6. Step 6: Final answer
    x = 167,158.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.