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Finding the Fourth Proportional to 67,855.28, 101,706.71 and 31,849.40

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Solution

The fourth proportional to 67,855.28, 101,706.71 and 31,849.40 is: 47,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,855.28 : 101,706.71 = 31,849.40 : x
  2. Step 2: Convert to fraction form
    67,855.28/101,706.71 = 31,849.40/x
  3. Step 3: Cross multiply
    67,855.28x = 101,706.71 × 31,849.40
  4. Step 4: Simplify right side
    67,855.28x = 3,239,297,784.49
  5. Step 5: Solve for x
    x = 3,239,297,784.49/67,855.28
  6. Step 6: Final answer
    x = 47,738.33

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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.