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Finding the Fourth Proportional to 78,314.84, 117,521.68 and 33,336.13

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Solution

The fourth proportional to 78,314.84, 117,521.68 and 33,336.13 is: 50,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,314.84 : 117,521.68 = 33,336.13 : x
  2. Step 2: Convert to fraction form
    78,314.84/117,521.68 = 33,336.13/x
  3. Step 3: Cross multiply
    78,314.84x = 117,521.68 × 33,336.13
  4. Step 4: Simplify right side
    78,314.84x = 3,917,718,002.30
  5. Step 5: Solve for x
    x = 3,917,718,002.30/78,314.84
  6. Step 6: Final answer
    x = 50,025.23

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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.