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Finding the Fourth Proportional to 54,208, 74,796.30 and 30,330.04

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Solution

The fourth proportional to 54,208, 74,796.30 and 30,330.04 is: 41,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,208 : 74,796.30 = 30,330.04 : x
  2. Step 2: Convert to fraction form
    54,208/74,796.30 = 30,330.04/x
  3. Step 3: Cross multiply
    54,208x = 74,796.30 × 30,330.04
  4. Step 4: Simplify right side
    54,208x = 2,268,574,770.85
  5. Step 5: Solve for x
    x = 2,268,574,770.85/54,208
  6. Step 6: Final answer
    x = 41,849.45

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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.