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Finding the Fourth Proportional to 57,236.56, 78,987.04 and 31,743.32

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Solution

The fourth proportional to 57,236.56, 78,987.04 and 31,743.32 is: 43,806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,236.56 : 78,987.04 = 31,743.32 : x
  2. Step 2: Convert to fraction form
    57,236.56/78,987.04 = 31,743.32/x
  3. Step 3: Cross multiply
    57,236.56x = 78,987.04 × 31,743.32
  4. Step 4: Simplify right side
    57,236.56x = 2,507,310,589.79
  5. Step 5: Solve for x
    x = 2,507,310,589.79/57,236.56
  6. Step 6: Final answer
    x = 43,806.10

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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.