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Finding the Fourth Proportional to 81,493.76, 122,146.04 and 30,860.60

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Solution

The fourth proportional to 81,493.76, 122,146.04 and 30,860.60 is: 46,255.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,493.76 : 122,146.04 = 30,860.60 : x
  2. Step 2: Convert to fraction form
    81,493.76/122,146.04 = 30,860.60/x
  3. Step 3: Cross multiply
    81,493.76x = 122,146.04 × 30,860.60
  4. Step 4: Simplify right side
    81,493.76x = 3,769,500,082.02
  5. Step 5: Solve for x
    x = 3,769,500,082.02/81,493.76
  6. Step 6: Final answer
    x = 46,255.08

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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.