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Finding the Fourth Proportional to 71,174, 106,776.16 and 21,258

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Solution

The fourth proportional to 71,174, 106,776.16 and 21,258 is: 31,891.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,174 : 106,776.16 = 21,258 : x
  2. Step 2: Convert to fraction form
    71,174/106,776.16 = 21,258/x
  3. Step 3: Cross multiply
    71,174x = 106,776.16 × 21,258
  4. Step 4: Simplify right side
    71,174x = 2,269,847,609.28
  5. Step 5: Solve for x
    x = 2,269,847,609.28/71,174
  6. Step 6: Final answer
    x = 31,891.53

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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.