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Finding the Fourth Proportional to 77,305.73, 115,972.43 and 39,855.74

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Solution

The fourth proportional to 77,305.73, 115,972.43 and 39,855.74 is: 59,790.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,305.73 : 115,972.43 = 39,855.74 : x
  2. Step 2: Convert to fraction form
    77,305.73/115,972.43 = 39,855.74/x
  3. Step 3: Cross multiply
    77,305.73x = 115,972.43 × 39,855.74
  4. Step 4: Simplify right side
    77,305.73x = 4,622,166,817.97
  5. Step 5: Solve for x
    x = 4,622,166,817.97/77,305.73
  6. Step 6: Final answer
    x = 59,790.74

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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.