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Finding the Fourth Proportional to 57,057.33, 78,733.08 and 31,559.64

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Solution

The fourth proportional to 57,057.33, 78,733.08 and 31,559.64 is: 43,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057.33 : 78,733.08 = 31,559.64 : x
  2. Step 2: Convert to fraction form
    57,057.33/78,733.08 = 31,559.64/x
  3. Step 3: Cross multiply
    57,057.33x = 78,733.08 × 31,559.64
  4. Step 4: Simplify right side
    57,057.33x = 2,484,787,660.89
  5. Step 5: Solve for x
    x = 2,484,787,660.89/57,057.33
  6. Step 6: Final answer
    x = 43,548.96

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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.