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Finding the Fourth Proportional to 54,219.66, 74,830.98 and 31,245

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Solution

The fourth proportional to 54,219.66, 74,830.98 and 31,245 is: 43,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,219.66 : 74,830.98 = 31,245 : x
  2. Step 2: Convert to fraction form
    54,219.66/74,830.98 = 31,245/x
  3. Step 3: Cross multiply
    54,219.66x = 74,830.98 × 31,245
  4. Step 4: Simplify right side
    54,219.66x = 2,338,093,970.10
  5. Step 5: Solve for x
    x = 2,338,093,970.10/54,219.66
  6. Step 6: Final answer
    x = 43,122.62

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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.