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Finding the Fourth Proportional to 78,173.84, 117,295.32 and 31,414.16

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Solution

The fourth proportional to 78,173.84, 117,295.32 and 31,414.16 is: 47,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,173.84 : 117,295.32 = 31,414.16 : x
  2. Step 2: Convert to fraction form
    78,173.84/117,295.32 = 31,414.16/x
  3. Step 3: Cross multiply
    78,173.84x = 117,295.32 × 31,414.16
  4. Step 4: Simplify right side
    78,173.84x = 3,684,733,949.73
  5. Step 5: Solve for x
    x = 3,684,733,949.73/78,173.84
  6. Step 6: Final answer
    x = 47,135.13

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Why These Related Problems?

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