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Finding the Fourth Proportional to 33,135.93, 49,702.05 and 13,409.19

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Solution

The fourth proportional to 33,135.93, 49,702.05 and 13,409.19 is: 20,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,135.93 : 49,702.05 = 13,409.19 : x
  2. Step 2: Convert to fraction form
    33,135.93/49,702.05 = 13,409.19/x
  3. Step 3: Cross multiply
    33,135.93x = 49,702.05 × 13,409.19
  4. Step 4: Simplify right side
    33,135.93x = 666,464,231.84
  5. Step 5: Solve for x
    x = 666,464,231.84/33,135.93
  6. Step 6: Final answer
    x = 20,113.04

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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.