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Finding the Fourth Proportional to 203,010, 280,154.42 and 112,372.26

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Solution

The fourth proportional to 203,010, 280,154.42 and 112,372.26 is: 155,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,010 : 280,154.42 = 112,372.26 : x
  2. Step 2: Convert to fraction form
    203,010/280,154.42 = 112,372.26/x
  3. Step 3: Cross multiply
    203,010x = 280,154.42 × 112,372.26
  4. Step 4: Simplify right side
    203,010x = 31,481,585,324.39
  5. Step 5: Solve for x
    x = 31,481,585,324.39/203,010
  6. Step 6: Final answer
    x = 155,074.06

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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.