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Finding the Fourth Proportional to 149,101.74, 205,765.11 and 85,459.50

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Solution

The fourth proportional to 149,101.74, 205,765.11 and 85,459.50 is: 117,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,101.74 : 205,765.11 = 85,459.50 : x
  2. Step 2: Convert to fraction form
    149,101.74/205,765.11 = 85,459.50/x
  3. Step 3: Cross multiply
    149,101.74x = 205,765.11 × 85,459.50
  4. Step 4: Simplify right side
    149,101.74x = 17,584,583,418.05
  5. Step 5: Solve for x
    x = 17,584,583,418.05/149,101.74
  6. Step 6: Final answer
    x = 117,936.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.