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Finding the Fourth Proportional to 51,872, 71,596.32 and 29,528.96

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Solution

The fourth proportional to 51,872, 71,596.32 and 29,528.96 is: 40,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,872 : 71,596.32 = 29,528.96 : x
  2. Step 2: Convert to fraction form
    51,872/71,596.32 = 29,528.96/x
  3. Step 3: Cross multiply
    51,872x = 71,596.32 × 29,528.96
  4. Step 4: Simplify right side
    51,872x = 2,114,164,869.43
  5. Step 5: Solve for x
    x = 2,114,164,869.43/51,872
  6. Step 6: Final answer
    x = 40,757.34

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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.