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Finding the Fourth Proportional to 189,290.91, 261,224.57 and 103,249.88

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Solution

The fourth proportional to 189,290.91, 261,224.57 and 103,249.88 is: 142,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,290.91 : 261,224.57 = 103,249.88 : x
  2. Step 2: Convert to fraction form
    189,290.91/261,224.57 = 103,249.88/x
  3. Step 3: Cross multiply
    189,290.91x = 261,224.57 × 103,249.88
  4. Step 4: Simplify right side
    189,290.91x = 26,971,406,325.75
  5. Step 5: Solve for x
    x = 26,971,406,325.75/189,290.91
  6. Step 6: Final answer
    x = 142,486.54

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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.