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Finding the Fourth Proportional to 71,020.40, 106,493.40 and 21,093.68

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Solution

The fourth proportional to 71,020.40, 106,493.40 and 21,093.68 is: 31,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,020.40 : 106,493.40 = 21,093.68 : x
  2. Step 2: Convert to fraction form
    71,020.40/106,493.40 = 21,093.68/x
  3. Step 3: Cross multiply
    71,020.40x = 106,493.40 × 21,093.68
  4. Step 4: Simplify right side
    71,020.40x = 2,246,337,701.71
  5. Step 5: Solve for x
    x = 2,246,337,701.71/71,020.40
  6. Step 6: Final answer
    x = 31,629.47

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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.