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Finding the Fourth Proportional to 71,071.20, 106,588.20 and 21,137.84

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Solution

The fourth proportional to 71,071.20, 106,588.20 and 21,137.84 is: 31,701.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,071.20 : 106,588.20 = 21,137.84 : x
  2. Step 2: Convert to fraction form
    71,071.20/106,588.20 = 21,137.84/x
  3. Step 3: Cross multiply
    71,071.20x = 106,588.20 × 21,137.84
  4. Step 4: Simplify right side
    71,071.20x = 2,253,044,317.49
  5. Step 5: Solve for x
    x = 2,253,044,317.49/71,071.20
  6. Step 6: Final answer
    x = 31,701.23

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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.