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Finding the Fourth Proportional to 36,018, 49,704.66 and 20,101.50

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Solution

The fourth proportional to 36,018, 49,704.66 and 20,101.50 is: 27,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,018 : 49,704.66 = 20,101.50 : x
  2. Step 2: Convert to fraction form
    36,018/49,704.66 = 20,101.50/x
  3. Step 3: Cross multiply
    36,018x = 49,704.66 × 20,101.50
  4. Step 4: Simplify right side
    36,018x = 999,138,222.99
  5. Step 5: Solve for x
    x = 999,138,222.99/36,018
  6. Step 6: Final answer
    x = 27,739.97

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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.