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Finding the Fourth Proportional to 54,083.80, 74,638.56 and 30,211

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Solution

The fourth proportional to 54,083.80, 74,638.56 and 30,211 is: 41,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,083.80 : 74,638.56 = 30,211 : x
  2. Step 2: Convert to fraction form
    54,083.80/74,638.56 = 30,211/x
  3. Step 3: Cross multiply
    54,083.80x = 74,638.56 × 30,211
  4. Step 4: Simplify right side
    54,083.80x = 2,254,905,536.16
  5. Step 5: Solve for x
    x = 2,254,905,536.16/54,083.80
  6. Step 6: Final answer
    x = 41,692.81

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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.