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Finding the Fourth Proportional to 33,138.64, 49,706.30 and 12,360.52

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Solution

The fourth proportional to 33,138.64, 49,706.30 and 12,360.52 is: 18,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,138.64 : 49,706.30 = 12,360.52 : x
  2. Step 2: Convert to fraction form
    33,138.64/49,706.30 = 12,360.52/x
  3. Step 3: Cross multiply
    33,138.64x = 49,706.30 × 12,360.52
  4. Step 4: Simplify right side
    33,138.64x = 614,395,715.28
  5. Step 5: Solve for x
    x = 614,395,715.28/33,138.64
  6. Step 6: Final answer
    x = 18,540.16

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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.