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Finding the Fourth Proportional to 203,266.25, 280,507.43 and 113,842.25

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Solution

The fourth proportional to 203,266.25, 280,507.43 and 113,842.25 is: 157,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,266.25 : 280,507.43 = 113,842.25 : x
  2. Step 2: Convert to fraction form
    203,266.25/280,507.43 = 113,842.25/x
  3. Step 3: Cross multiply
    203,266.25x = 280,507.43 × 113,842.25
  4. Step 4: Simplify right side
    203,266.25x = 31,933,596,972.92
  5. Step 5: Solve for x
    x = 31,933,596,972.92/203,266.25
  6. Step 6: Final answer
    x = 157,102.31

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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.