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Finding the Fourth Proportional to 203,885.96, 305,829.16 and 77,496.52

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Solution

The fourth proportional to 203,885.96, 305,829.16 and 77,496.52 is: 116,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,885.96 : 305,829.16 = 77,496.52 : x
  2. Step 2: Convert to fraction form
    203,885.96/305,829.16 = 77,496.52/x
  3. Step 3: Cross multiply
    203,885.96x = 305,829.16 × 77,496.52
  4. Step 4: Simplify right side
    203,885.96x = 23,700,695,614.52
  5. Step 5: Solve for x
    x = 23,700,695,614.52/203,885.96
  6. Step 6: Final answer
    x = 116,244.86

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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.