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Finding the Fourth Proportional to 203,670.66, 305,407.32 and 119,458.44

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Solution

The fourth proportional to 203,670.66, 305,407.32 and 119,458.44 is: 179,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,670.66 : 305,407.32 = 119,458.44 : x
  2. Step 2: Convert to fraction form
    203,670.66/305,407.32 = 119,458.44/x
  3. Step 3: Cross multiply
    203,670.66x = 305,407.32 × 119,458.44
  4. Step 4: Simplify right side
    203,670.66x = 36,483,482,011.78
  5. Step 5: Solve for x
    x = 36,483,482,011.78/203,670.66
  6. Step 6: Final answer
    x = 179,129.79

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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.