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Finding the Fourth Proportional to 57,224.24, 78,971.97 and 31,728.98

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Solution

The fourth proportional to 57,224.24, 78,971.97 and 31,728.98 is: 43,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,224.24 : 78,971.97 = 31,728.98 : x
  2. Step 2: Convert to fraction form
    57,224.24/78,971.97 = 31,728.98/x
  3. Step 3: Cross multiply
    57,224.24x = 78,971.97 × 31,728.98
  4. Step 4: Simplify right side
    57,224.24x = 2,505,700,056.69
  5. Step 5: Solve for x
    x = 2,505,700,056.69/57,224.24
  6. Step 6: Final answer
    x = 43,787.39

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1.5x scale

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.