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Finding the Fourth Proportional to 72,657.84, 108,993 and 20,067.32

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Solution

The fourth proportional to 72,657.84, 108,993 and 20,067.32 is: 30,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,657.84 : 108,993 = 20,067.32 : x
  2. Step 2: Convert to fraction form
    72,657.84/108,993 = 20,067.32/x
  3. Step 3: Cross multiply
    72,657.84x = 108,993 × 20,067.32
  4. Step 4: Simplify right side
    72,657.84x = 2,187,197,408.76
  5. Step 5: Solve for x
    x = 2,187,197,408.76/72,657.84
  6. Step 6: Final answer
    x = 30,102.70

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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.