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Finding the Fourth Proportional to 72,186.39, 108,288.50 and 24,811.11

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Solution

The fourth proportional to 72,186.39, 108,288.50 and 24,811.11 is: 37,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,186.39 : 108,288.50 = 24,811.11 : x
  2. Step 2: Convert to fraction form
    72,186.39/108,288.50 = 24,811.11/x
  3. Step 3: Cross multiply
    72,186.39x = 108,288.50 × 24,811.11
  4. Step 4: Simplify right side
    72,186.39x = 2,686,757,761.18
  5. Step 5: Solve for x
    x = 2,686,757,761.18/72,186.39
  6. Step 6: Final answer
    x = 37,219.73

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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.