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Finding the Fourth Proportional to 189,871.86, 262,023.27 and 108,197.79

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Solution

The fourth proportional to 189,871.86, 262,023.27 and 108,197.79 is: 149,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,871.86 : 262,023.27 = 108,197.79 : x
  2. Step 2: Convert to fraction form
    189,871.86/262,023.27 = 108,197.79/x
  3. Step 3: Cross multiply
    189,871.86x = 262,023.27 × 108,197.79
  4. Step 4: Simplify right side
    189,871.86x = 28,350,338,742.57
  5. Step 5: Solve for x
    x = 28,350,338,742.57/189,871.86
  6. Step 6: Final answer
    x = 149,313.01

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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.