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Finding the Fourth Proportional to 77,093.94, 115,640.31 and 39,664.50

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Solution

The fourth proportional to 77,093.94, 115,640.31 and 39,664.50 is: 59,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,093.94 : 115,640.31 = 39,664.50 : x
  2. Step 2: Convert to fraction form
    77,093.94/115,640.31 = 39,664.50/x
  3. Step 3: Cross multiply
    77,093.94x = 115,640.31 × 39,664.50
  4. Step 4: Simplify right side
    77,093.94x = 4,586,815,076.00
  5. Step 5: Solve for x
    x = 4,586,815,076.00/77,093.94
  6. Step 6: Final answer
    x = 59,496.44

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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.