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Finding the Fourth Proportional to 71,056.46, 106,584.70 and 21,137.27

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Solution

The fourth proportional to 71,056.46, 106,584.70 and 21,137.27 is: 31,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,056.46 : 106,584.70 = 21,137.27 : x
  2. Step 2: Convert to fraction form
    71,056.46/106,584.70 = 21,137.27/x
  3. Step 3: Cross multiply
    71,056.46x = 106,584.70 × 21,137.27
  4. Step 4: Simplify right side
    71,056.46x = 2,252,909,795.39
  5. Step 5: Solve for x
    x = 2,252,909,795.39/71,056.46
  6. Step 6: Final answer
    x = 31,705.91

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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.