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Finding the Fourth Proportional to 51,568.64, 71,164.64 and 31,425.60

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Solution

The fourth proportional to 51,568.64, 71,164.64 and 31,425.60 is: 43,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,568.64 : 71,164.64 = 31,425.60 : x
  2. Step 2: Convert to fraction form
    51,568.64/71,164.64 = 31,425.60/x
  3. Step 3: Cross multiply
    51,568.64x = 71,164.64 × 31,425.60
  4. Step 4: Simplify right side
    51,568.64x = 2,236,391,510.78
  5. Step 5: Solve for x
    x = 2,236,391,510.78/51,568.64
  6. Step 6: Final answer
    x = 43,367.28

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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.