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Finding the Fourth Proportional to 189,646.63, 261,720.28 and 109,074.21

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Solution

The fourth proportional to 189,646.63, 261,720.28 and 109,074.21 is: 150,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,646.63 : 261,720.28 = 109,074.21 : x
  2. Step 2: Convert to fraction form
    189,646.63/261,720.28 = 109,074.21/x
  3. Step 3: Cross multiply
    189,646.63x = 261,720.28 × 109,074.21
  4. Step 4: Simplify right side
    189,646.63x = 28,546,932,781.98
  5. Step 5: Solve for x
    x = 28,546,932,781.98/189,646.63
  6. Step 6: Final answer
    x = 150,526.97

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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.