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Finding the Fourth Proportional to 276,735.15, 415,103.03 and 77,055.97

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Solution

The fourth proportional to 276,735.15, 415,103.03 and 77,055.97 is: 115,584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,735.15 : 415,103.03 = 77,055.97 : x
  2. Step 2: Convert to fraction form
    276,735.15/415,103.03 = 77,055.97/x
  3. Step 3: Cross multiply
    276,735.15x = 415,103.03 × 77,055.97
  4. Step 4: Simplify right side
    276,735.15x = 31,986,166,626.59
  5. Step 5: Solve for x
    x = 31,986,166,626.59/276,735.15
  6. Step 6: Final answer
    x = 115,584.04

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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.