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Finding the Fourth Proportional to 70,872.56, 106,274.18 and 30,925.30

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Solution

The fourth proportional to 70,872.56, 106,274.18 and 30,925.30 is: 46,372.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,872.56 : 106,274.18 = 30,925.30 : x
  2. Step 2: Convert to fraction form
    70,872.56/106,274.18 = 30,925.30/x
  3. Step 3: Cross multiply
    70,872.56x = 106,274.18 × 30,925.30
  4. Step 4: Simplify right side
    70,872.56x = 3,286,560,898.75
  5. Step 5: Solve for x
    x = 3,286,560,898.75/70,872.56
  6. Step 6: Final answer
    x = 46,372.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.