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Finding the Fourth Proportional to 71,134.30, 106,706.31 and 21,210.56

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Solution

The fourth proportional to 71,134.30, 106,706.31 and 21,210.56 is: 31,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,134.30 : 106,706.31 = 21,210.56 : x
  2. Step 2: Convert to fraction form
    71,134.30/106,706.31 = 21,210.56/x
  3. Step 3: Cross multiply
    71,134.30x = 106,706.31 × 21,210.56
  4. Step 4: Simplify right side
    71,134.30x = 2,263,299,951.05
  5. Step 5: Solve for x
    x = 2,263,299,951.05/71,134.30
  6. Step 6: Final answer
    x = 31,817.28

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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.