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Finding the Fourth Proportional to 71,166.36, 106,768.02 and 21,246.46

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Solution

The fourth proportional to 71,166.36, 106,768.02 and 21,246.46 is: 31,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,166.36 : 106,768.02 = 21,246.46 : x
  2. Step 2: Convert to fraction form
    71,166.36/106,768.02 = 21,246.46/x
  3. Step 3: Cross multiply
    71,166.36x = 106,768.02 × 21,246.46
  4. Step 4: Simplify right side
    71,166.36x = 2,268,442,466.21
  5. Step 5: Solve for x
    x = 2,268,442,466.21/71,166.36
  6. Step 6: Final answer
    x = 31,875.21

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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.