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Finding the Fourth Proportional to 54,912.93, 75,782.97 and 31,041.69

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Solution

The fourth proportional to 54,912.93, 75,782.97 and 31,041.69 is: 42,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,912.93 : 75,782.97 = 31,041.69 : x
  2. Step 2: Convert to fraction form
    54,912.93/75,782.97 = 31,041.69/x
  3. Step 3: Cross multiply
    54,912.93x = 75,782.97 × 31,041.69
  4. Step 4: Simplify right side
    54,912.93x = 2,352,431,462.02
  5. Step 5: Solve for x
    x = 2,352,431,462.02/54,912.93
  6. Step 6: Final answer
    x = 42,839.30

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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.