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Finding the Fourth Proportional to 203,964.40, 305,841.54 and 91,548.25

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Solution

The fourth proportional to 203,964.40, 305,841.54 and 91,548.25 is: 137,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,964.40 : 305,841.54 = 91,548.25 : x
  2. Step 2: Convert to fraction form
    203,964.40/305,841.54 = 91,548.25/x
  3. Step 3: Cross multiply
    203,964.40x = 305,841.54 × 91,548.25
  4. Step 4: Simplify right side
    203,964.40x = 27,999,257,764.31
  5. Step 5: Solve for x
    x = 27,999,257,764.31/203,964.40
  6. Step 6: Final answer
    x = 137,275.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.