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Finding the Fourth Proportional to 71,313, 106,975.26 and 22,065

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Solution

The fourth proportional to 71,313, 106,975.26 and 22,065 is: 33,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,313 : 106,975.26 = 22,065 : x
  2. Step 2: Convert to fraction form
    71,313/106,975.26 = 22,065/x
  3. Step 3: Cross multiply
    71,313x = 106,975.26 × 22,065
  4. Step 4: Simplify right side
    71,313x = 2,360,409,111.90
  5. Step 5: Solve for x
    x = 2,360,409,111.90/71,313
  6. Step 6: Final answer
    x = 33,099.28

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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.