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Finding the Fourth Proportional to 78,411.62, 117,629.73 and 46,857.32

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Solution

The fourth proportional to 78,411.62, 117,629.73 and 46,857.32 is: 70,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,411.62 : 117,629.73 = 46,857.32 : x
  2. Step 2: Convert to fraction form
    78,411.62/117,629.73 = 46,857.32/x
  3. Step 3: Cross multiply
    78,411.62x = 117,629.73 × 46,857.32
  4. Step 4: Simplify right side
    78,411.62x = 5,511,813,311.97
  5. Step 5: Solve for x
    x = 5,511,813,311.97/78,411.62
  6. Step 6: Final answer
    x = 70,293.33

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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.