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Finding the Fourth Proportional to 189,709.80, 261,814.46 and 108,041.53

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Solution

The fourth proportional to 189,709.80, 261,814.46 and 108,041.53 is: 149,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,709.80 : 261,814.46 = 108,041.53 : x
  2. Step 2: Convert to fraction form
    189,709.80/261,814.46 = 108,041.53/x
  3. Step 3: Cross multiply
    189,709.80x = 261,814.46 × 108,041.53
  4. Step 4: Simplify right side
    189,709.80x = 28,286,833,255.35
  5. Step 5: Solve for x
    x = 28,286,833,255.35/189,709.80
  6. Step 6: Final answer
    x = 149,105.81

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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.