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Finding the Fourth Proportional to 67,884.75, 101,827.31 and 21,137.67

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Solution

The fourth proportional to 67,884.75, 101,827.31 and 21,137.67 is: 31,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,884.75 : 101,827.31 = 21,137.67 : x
  2. Step 2: Convert to fraction form
    67,884.75/101,827.31 = 21,137.67/x
  3. Step 3: Cross multiply
    67,884.75x = 101,827.31 × 21,137.67
  4. Step 4: Simplify right side
    67,884.75x = 2,152,391,970.08
  5. Step 5: Solve for x
    x = 2,152,391,970.08/67,884.75
  6. Step 6: Final answer
    x = 31,706.56

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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.