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Finding the Fourth Proportional to 212,082.64, 318,164.76 and 69,969.04

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Solution

The fourth proportional to 212,082.64, 318,164.76 and 69,969.04 is: 104,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,082.64 : 318,164.76 = 69,969.04 : x
  2. Step 2: Convert to fraction form
    212,082.64/318,164.76 = 69,969.04/x
  3. Step 3: Cross multiply
    212,082.64x = 318,164.76 × 69,969.04
  4. Step 4: Simplify right side
    212,082.64x = 22,261,682,819.03
  5. Step 5: Solve for x
    x = 22,261,682,819.03/212,082.64
  6. Step 6: Final answer
    x = 104,967.02

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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.