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Finding the Fourth Proportional to 189,951.43, 262,023.51 and 120,913.24

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Solution

The fourth proportional to 189,951.43, 262,023.51 and 120,913.24 is: 166,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,951.43 : 262,023.51 = 120,913.24 : x
  2. Step 2: Convert to fraction form
    189,951.43/262,023.51 = 120,913.24/x
  3. Step 3: Cross multiply
    189,951.43x = 262,023.51 × 120,913.24
  4. Step 4: Simplify right side
    189,951.43x = 31,682,111,550.27
  5. Step 5: Solve for x
    x = 31,682,111,550.27/189,951.43
  6. Step 6: Final answer
    x = 166,790.59

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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.