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Finding the Fourth Proportional to 203,621.25, 305,475.74 and 61,454.63

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Solution

The fourth proportional to 203,621.25, 305,475.74 and 61,454.63 is: 92,195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,621.25 : 305,475.74 = 61,454.63 : x
  2. Step 2: Convert to fraction form
    203,621.25/305,475.74 = 61,454.63/x
  3. Step 3: Cross multiply
    203,621.25x = 305,475.74 × 61,454.63
  4. Step 4: Simplify right side
    203,621.25x = 18,772,898,575.68
  5. Step 5: Solve for x
    x = 18,772,898,575.68/203,621.25
  6. Step 6: Final answer
    x = 92,195.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.