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Finding the Fourth Proportional to 71,211.96, 106,816.77 and 29,082.78

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Solution

The fourth proportional to 71,211.96, 106,816.77 and 29,082.78 is: 43,623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,211.96 : 106,816.77 = 29,082.78 : x
  2. Step 2: Convert to fraction form
    71,211.96/106,816.77 = 29,082.78/x
  3. Step 3: Cross multiply
    71,211.96x = 106,816.77 × 29,082.78
  4. Step 4: Simplify right side
    71,211.96x = 3,106,528,622.22
  5. Step 5: Solve for x
    x = 3,106,528,622.22/71,211.96
  6. Step 6: Final answer
    x = 43,623.69

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1.5x scale

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.