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Finding the Fourth Proportional to 203,973.70, 281,489.97 and 123,416.02

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Solution

The fourth proportional to 203,973.70, 281,489.97 and 123,416.02 is: 170,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,973.70 : 281,489.97 = 123,416.02 : x
  2. Step 2: Convert to fraction form
    203,973.70/281,489.97 = 123,416.02/x
  3. Step 3: Cross multiply
    203,973.70x = 281,489.97 × 123,416.02
  4. Step 4: Simplify right side
    203,973.70x = 34,740,371,767.32
  5. Step 5: Solve for x
    x = 34,740,371,767.32/203,973.70
  6. Step 6: Final answer
    x = 170,317.90

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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.