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Finding the Fourth Proportional to 136,232.55, 188,093.60 and 85,265.86

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Solution

The fourth proportional to 136,232.55, 188,093.60 and 85,265.86 is: 117,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,232.55 : 188,093.60 = 85,265.86 : x
  2. Step 2: Convert to fraction form
    136,232.55/188,093.60 = 85,265.86/x
  3. Step 3: Cross multiply
    136,232.55x = 188,093.60 × 85,265.86
  4. Step 4: Simplify right side
    136,232.55x = 16,037,962,564.50
  5. Step 5: Solve for x
    x = 16,037,962,564.50/136,232.55
  6. Step 6: Final answer
    x = 117,724.89

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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.