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Finding the Fourth Proportional to 55,791.60, 76,993.02 and 31,919.28

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Solution

The fourth proportional to 55,791.60, 76,993.02 and 31,919.28 is: 44,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,791.60 : 76,993.02 = 31,919.28 : x
  2. Step 2: Convert to fraction form
    55,791.60/76,993.02 = 31,919.28/x
  3. Step 3: Cross multiply
    55,791.60x = 76,993.02 × 31,919.28
  4. Step 4: Simplify right side
    55,791.60x = 2,457,561,763.43
  5. Step 5: Solve for x
    x = 2,457,561,763.43/55,791.60
  6. Step 6: Final answer
    x = 44,048.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.