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Finding the Fourth Proportional to 57,222.36, 78,966.04 and 31,728.78

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Solution

The fourth proportional to 57,222.36, 78,966.04 and 31,728.78 is: 43,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,222.36 : 78,966.04 = 31,728.78 : x
  2. Step 2: Convert to fraction form
    57,222.36/78,966.04 = 31,728.78/x
  3. Step 3: Cross multiply
    57,222.36x = 78,966.04 × 31,728.78
  4. Step 4: Simplify right side
    57,222.36x = 2,505,496,110.63
  5. Step 5: Solve for x
    x = 2,505,496,110.63/57,222.36
  6. Step 6: Final answer
    x = 43,785.26

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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.