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Finding the Fourth Proportional to 36,206, 54,259.68 and 18,638.72

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Solution

The fourth proportional to 36,206, 54,259.68 and 18,638.72 is: 27,932.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,206 : 54,259.68 = 18,638.72 : x
  2. Step 2: Convert to fraction form
    36,206/54,259.68 = 18,638.72/x
  3. Step 3: Cross multiply
    36,206x = 54,259.68 × 18,638.72
  4. Step 4: Simplify right side
    36,206x = 1,011,330,982.81
  5. Step 5: Solve for x
    x = 1,011,330,982.81/36,206
  6. Step 6: Final answer
    x = 27,932.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.