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Finding the Fourth Proportional to 33,147.18, 49,720.77 and 13,412.16

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Solution

The fourth proportional to 33,147.18, 49,720.77 and 13,412.16 is: 20,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,147.18 : 49,720.77 = 13,412.16 : x
  2. Step 2: Convert to fraction form
    33,147.18/49,720.77 = 13,412.16/x
  3. Step 3: Cross multiply
    33,147.18x = 49,720.77 × 13,412.16
  4. Step 4: Simplify right side
    33,147.18x = 666,862,922.56
  5. Step 5: Solve for x
    x = 666,862,922.56/33,147.18
  6. Step 6: Final answer
    x = 20,118.24

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