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Finding the Fourth Proportional to 203,991.60, 281,462.40 and 123,417.12

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Solution

The fourth proportional to 203,991.60, 281,462.40 and 123,417.12 is: 170,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,991.60 : 281,462.40 = 123,417.12 : x
  2. Step 2: Convert to fraction form
    203,991.60/281,462.40 = 123,417.12/x
  3. Step 3: Cross multiply
    203,991.60x = 281,462.40 × 123,417.12
  4. Step 4: Simplify right side
    203,991.60x = 34,737,278,796.29
  5. Step 5: Solve for x
    x = 34,737,278,796.29/203,991.60
  6. Step 6: Final answer
    x = 170,287.79

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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.