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Finding the Fourth Proportional to 81,203.67, 121,774.26 and 27,885.72

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Solution

The fourth proportional to 81,203.67, 121,774.26 and 27,885.72 is: 41,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,203.67 : 121,774.26 = 27,885.72 : x
  2. Step 2: Convert to fraction form
    81,203.67/121,774.26 = 27,885.72/x
  3. Step 3: Cross multiply
    81,203.67x = 121,774.26 × 27,885.72
  4. Step 4: Simplify right side
    81,203.67x = 3,395,762,917.57
  5. Step 5: Solve for x
    x = 3,395,762,917.57/81,203.67
  6. Step 6: Final answer
    x = 41,817.85

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1.5x scale

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.