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Finding the Fourth Proportional to 203,121.81, 280,307.39 and 113,697.81

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Solution

The fourth proportional to 203,121.81, 280,307.39 and 113,697.81 is: 156,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,121.81 : 280,307.39 = 113,697.81 : x
  2. Step 2: Convert to fraction form
    203,121.81/280,307.39 = 113,697.81/x
  3. Step 3: Cross multiply
    203,121.81x = 280,307.39 × 113,697.81
  4. Step 4: Simplify right side
    203,121.81x = 31,870,335,801.33
  5. Step 5: Solve for x
    x = 31,870,335,801.33/203,121.81
  6. Step 6: Final answer
    x = 156,902.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.