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Finding the Fourth Proportional to 149,157.92, 205,847.12 and 85,505.29

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Solution

The fourth proportional to 149,157.92, 205,847.12 and 85,505.29 is: 118,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,157.92 : 205,847.12 = 85,505.29 : x
  2. Step 2: Convert to fraction form
    149,157.92/205,847.12 = 85,505.29/x
  3. Step 3: Cross multiply
    149,157.92x = 205,847.12 × 85,505.29
  4. Step 4: Simplify right side
    149,157.92x = 17,601,016,234.50
  5. Step 5: Solve for x
    x = 17,601,016,234.50/149,157.92
  6. Step 6: Final answer
    x = 118,002.56

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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.