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Finding the Fourth Proportional to 57,223.74, 78,971.28 and 31,728.48

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Solution

The fourth proportional to 57,223.74, 78,971.28 and 31,728.48 is: 43,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,223.74 : 78,971.28 = 31,728.48 : x
  2. Step 2: Convert to fraction form
    57,223.74/78,971.28 = 31,728.48/x
  3. Step 3: Cross multiply
    57,223.74x = 78,971.28 × 31,728.48
  4. Step 4: Simplify right side
    57,223.74x = 2,505,638,678.05
  5. Step 5: Solve for x
    x = 2,505,638,678.05/57,223.74
  6. Step 6: Final answer
    x = 43,786.70

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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.