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Finding the Fourth Proportional to 54,072, 74,618.55 and 30,199.02

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Solution

The fourth proportional to 54,072, 74,618.55 and 30,199.02 is: 41,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,072 : 74,618.55 = 30,199.02 : x
  2. Step 2: Convert to fraction form
    54,072/74,618.55 = 30,199.02/x
  3. Step 3: Cross multiply
    54,072x = 74,618.55 × 30,199.02
  4. Step 4: Simplify right side
    54,072x = 2,253,407,083.82
  5. Step 5: Solve for x
    x = 2,253,407,083.82/54,072
  6. Step 6: Final answer
    x = 41,674.20

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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.