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Finding the Fourth Proportional to 54,203.76, 74,791.35 and 31,230

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Solution

The fourth proportional to 54,203.76, 74,791.35 and 31,230 is: 43,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,203.76 : 74,791.35 = 31,230 : x
  2. Step 2: Convert to fraction form
    54,203.76/74,791.35 = 31,230/x
  3. Step 3: Cross multiply
    54,203.76x = 74,791.35 × 31,230
  4. Step 4: Simplify right side
    54,203.76x = 2,335,733,860.50
  5. Step 5: Solve for x
    x = 2,335,733,860.50/54,203.76
  6. Step 6: Final answer
    x = 43,091.73

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