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Finding the Fourth Proportional to 189,227.25, 283,840.88 and 76,968.54

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Solution

The fourth proportional to 189,227.25, 283,840.88 and 76,968.54 is: 115,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,227.25 : 283,840.88 = 76,968.54 : x
  2. Step 2: Convert to fraction form
    189,227.25/283,840.88 = 76,968.54/x
  3. Step 3: Cross multiply
    189,227.25x = 283,840.88 × 76,968.54
  4. Step 4: Simplify right side
    189,227.25x = 21,846,817,741.07
  5. Step 5: Solve for x
    x = 21,846,817,741.07/189,227.25
  6. Step 6: Final answer
    x = 115,452.81

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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.