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Finding the Fourth Proportional to 54,302.49, 74,912.10 and 34,170.48

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Solution

The fourth proportional to 54,302.49, 74,912.10 and 34,170.48 is: 47,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,302.49 : 74,912.10 = 34,170.48 : x
  2. Step 2: Convert to fraction form
    54,302.49/74,912.10 = 34,170.48/x
  3. Step 3: Cross multiply
    54,302.49x = 74,912.10 × 34,170.48
  4. Step 4: Simplify right side
    54,302.49x = 2,559,782,414.81
  5. Step 5: Solve for x
    x = 2,559,782,414.81/54,302.49
  6. Step 6: Final answer
    x = 47,139.32

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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.