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Finding the Fourth Proportional to 203,743.68, 281,133.44 and 117,689

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Solution

The fourth proportional to 203,743.68, 281,133.44 and 117,689 is: 162,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,743.68 : 281,133.44 = 117,689 : x
  2. Step 2: Convert to fraction form
    203,743.68/281,133.44 = 117,689/x
  3. Step 3: Cross multiply
    203,743.68x = 281,133.44 × 117,689
  4. Step 4: Simplify right side
    203,743.68x = 33,086,313,420.16
  5. Step 5: Solve for x
    x = 33,086,313,420.16/203,743.68
  6. Step 6: Final answer
    x = 162,391.85

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1.5x scale

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.