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Finding the Fourth Proportional to 33,120.96, 45,707.12 and 18,013.76

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Solution

The fourth proportional to 33,120.96, 45,707.12 and 18,013.76 is: 24,859.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,120.96 : 45,707.12 = 18,013.76 : x
  2. Step 2: Convert to fraction form
    33,120.96/45,707.12 = 18,013.76/x
  3. Step 3: Cross multiply
    33,120.96x = 45,707.12 × 18,013.76
  4. Step 4: Simplify right side
    33,120.96x = 823,357,089.97
  5. Step 5: Solve for x
    x = 823,357,089.97/33,120.96
  6. Step 6: Final answer
    x = 24,859.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.