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Finding the Fourth Proportional to 71,191.34, 106,785.57 and 21,271.58

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Solution

The fourth proportional to 71,191.34, 106,785.57 and 21,271.58 is: 31,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,191.34 : 106,785.57 = 21,271.58 : x
  2. Step 2: Convert to fraction form
    71,191.34/106,785.57 = 21,271.58/x
  3. Step 3: Cross multiply
    71,191.34x = 106,785.57 × 21,271.58
  4. Step 4: Simplify right side
    71,191.34x = 2,271,497,795.10
  5. Step 5: Solve for x
    x = 2,271,497,795.10/71,191.34
  6. Step 6: Final answer
    x = 31,906.94

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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.