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Finding the Fourth Proportional to 71,028.56, 106,505.76 and 21,101.78

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Solution

The fourth proportional to 71,028.56, 106,505.76 and 21,101.78 is: 31,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,028.56 : 106,505.76 = 21,101.78 : x
  2. Step 2: Convert to fraction form
    71,028.56/106,505.76 = 21,101.78/x
  3. Step 3: Cross multiply
    71,028.56x = 106,505.76 × 21,101.78
  4. Step 4: Simplify right side
    71,028.56x = 2,247,461,116.25
  5. Step 5: Solve for x
    x = 2,247,461,116.25/71,028.56
  6. Step 6: Final answer
    x = 31,641.65

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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.