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Finding the Fourth Proportional to 189,708.86, 261,847.42 and 109,144.64

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Solution

The fourth proportional to 189,708.86, 261,847.42 and 109,144.64 is: 150,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,708.86 : 261,847.42 = 109,144.64 : x
  2. Step 2: Convert to fraction form
    189,708.86/261,847.42 = 109,144.64/x
  3. Step 3: Cross multiply
    189,708.86x = 261,847.42 × 109,144.64
  4. Step 4: Simplify right side
    189,708.86x = 28,579,242,390.83
  5. Step 5: Solve for x
    x = 28,579,242,390.83/189,708.86
  6. Step 6: Final answer
    x = 150,647.91

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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.