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Finding the Fourth Proportional to 203,670.12, 281,338.80 and 156,513

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Solution

The fourth proportional to 203,670.12, 281,338.80 and 156,513 is: 216,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,670.12 : 281,338.80 = 156,513 : x
  2. Step 2: Convert to fraction form
    203,670.12/281,338.80 = 156,513/x
  3. Step 3: Cross multiply
    203,670.12x = 281,338.80 × 156,513
  4. Step 4: Simplify right side
    203,670.12x = 44,033,179,604.40
  5. Step 5: Solve for x
    x = 44,033,179,604.40/203,670.12
  6. Step 6: Final answer
    x = 216,198.53

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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.