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Finding the Fourth Proportional to 54,912.43, 75,782.28 and 31,041.19

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Solution

The fourth proportional to 54,912.43, 75,782.28 and 31,041.19 is: 42,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,912.43 : 75,782.28 = 31,041.19 : x
  2. Step 2: Convert to fraction form
    54,912.43/75,782.28 = 31,041.19/x
  3. Step 3: Cross multiply
    54,912.43x = 75,782.28 × 31,041.19
  4. Step 4: Simplify right side
    54,912.43x = 2,352,372,152.11
  5. Step 5: Solve for x
    x = 2,352,372,152.11/54,912.43
  6. Step 6: Final answer
    x = 42,838.61

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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.