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Finding the Fourth Proportional to 203,814.81, 305,561.43 and 128,776.82

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Solution

The fourth proportional to 203,814.81, 305,561.43 and 128,776.82 is: 193,063.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,814.81 : 305,561.43 = 128,776.82 : x
  2. Step 2: Convert to fraction form
    203,814.81/305,561.43 = 128,776.82/x
  3. Step 3: Cross multiply
    203,814.81x = 305,561.43 × 128,776.82
  4. Step 4: Simplify right side
    203,814.81x = 39,349,227,742.25
  5. Step 5: Solve for x
    x = 39,349,227,742.25/203,814.81
  6. Step 6: Final answer
    x = 193,063.63

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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.