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Finding the Fourth Proportional to 203,753.12, 305,629.66 and 77,393.05

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Solution

The fourth proportional to 203,753.12, 305,629.66 and 77,393.05 is: 116,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,753.12 : 305,629.66 = 77,393.05 : x
  2. Step 2: Convert to fraction form
    203,753.12/305,629.66 = 77,393.05/x
  3. Step 3: Cross multiply
    203,753.12x = 305,629.66 × 77,393.05
  4. Step 4: Simplify right side
    203,753.12x = 23,653,610,982.34
  5. Step 5: Solve for x
    x = 23,653,610,982.34/203,753.12
  6. Step 6: Final answer
    x = 116,089.57

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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.