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Finding the Fourth Proportional to 189,684.78, 261,723.74 and 113,168.94

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Solution

The fourth proportional to 189,684.78, 261,723.74 and 113,168.94 is: 156,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,684.78 : 261,723.74 = 113,168.94 : x
  2. Step 2: Convert to fraction form
    189,684.78/261,723.74 = 113,168.94/x
  3. Step 3: Cross multiply
    189,684.78x = 261,723.74 × 113,168.94
  4. Step 4: Simplify right side
    189,684.78x = 29,618,997,662.79
  5. Step 5: Solve for x
    x = 29,618,997,662.79/189,684.78
  6. Step 6: Final answer
    x = 156,148.52

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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.