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Finding the Fourth Proportional to 149,129.87, 205,806.42 and 85,467.83

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Solution

The fourth proportional to 149,129.87, 205,806.42 and 85,467.83 is: 117,949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,129.87 : 205,806.42 = 85,467.83 : x
  2. Step 2: Convert to fraction form
    149,129.87/205,806.42 = 85,467.83/x
  3. Step 3: Cross multiply
    149,129.87x = 205,806.42 × 85,467.83
  4. Step 4: Simplify right side
    149,129.87x = 17,589,827,088.44
  5. Step 5: Solve for x
    x = 17,589,827,088.44/149,129.87
  6. Step 6: Final answer
    x = 117,949.73

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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.