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Finding the Fourth Proportional to 149,158.05, 205,847.29 and 85,505.41

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Solution

The fourth proportional to 149,158.05, 205,847.29 and 85,505.41 is: 118,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,158.05 : 205,847.29 = 85,505.41 : x
  2. Step 2: Convert to fraction form
    149,158.05/205,847.29 = 85,505.41/x
  3. Step 3: Cross multiply
    149,158.05x = 205,847.29 × 85,505.41
  4. Step 4: Simplify right side
    149,158.05x = 17,601,056,928.84
  5. Step 5: Solve for x
    x = 17,601,056,928.84/149,158.05
  6. Step 6: Final answer
    x = 118,002.73

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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.