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Finding the Fourth Proportional to 78,015.40, 116,979.90 and 33,634.60

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Solution

The fourth proportional to 78,015.40, 116,979.90 and 33,634.60 is: 50,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015.40 : 116,979.90 = 33,634.60 : x
  2. Step 2: Convert to fraction form
    78,015.40/116,979.90 = 33,634.60/x
  3. Step 3: Cross multiply
    78,015.40x = 116,979.90 × 33,634.60
  4. Step 4: Simplify right side
    78,015.40x = 3,934,572,144.54
  5. Step 5: Solve for x
    x = 3,934,572,144.54/78,015.40
  6. Step 6: Final answer
    x = 50,433.28

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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.