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Finding the Fourth Proportional to 54,302.42, 74,936.12 and 31,640.00

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Solution

The fourth proportional to 54,302.42, 74,936.12 and 31,640.00 is: 43,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,302.42 : 74,936.12 = 31,640.00 : x
  2. Step 2: Convert to fraction form
    54,302.42/74,936.12 = 31,640.00/x
  3. Step 3: Cross multiply
    54,302.42x = 74,936.12 × 31,640.00
  4. Step 4: Simplify right side
    54,302.42x = 2,370,978,303.92
  5. Step 5: Solve for x
    x = 2,370,978,303.92/54,302.42
  6. Step 6: Final answer
    x = 43,662.48

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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.