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Finding the Fourth Proportional to 189,503.42, 261,530.71 and 108,958.64

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Solution

The fourth proportional to 189,503.42, 261,530.71 and 108,958.64 is: 150,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,503.42 : 261,530.71 = 108,958.64 : x
  2. Step 2: Convert to fraction form
    189,503.42/261,530.71 = 108,958.64/x
  3. Step 3: Cross multiply
    189,503.42x = 261,530.71 × 108,958.64
  4. Step 4: Simplify right side
    189,503.42x = 28,496,028,899.78
  5. Step 5: Solve for x
    x = 28,496,028,899.78/189,503.42
  6. Step 6: Final answer
    x = 150,372.11

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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.