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Finding the Fourth Proportional to 212,082, 318,123 and 64,338

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Solution

The fourth proportional to 212,082, 318,123 and 64,338 is: 96,507

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,082 : 318,123 = 64,338 : x
  2. Step 2: Convert to fraction form
    212,082/318,123 = 64,338/x
  3. Step 3: Cross multiply
    212,082x = 318,123 × 64,338
  4. Step 4: Simplify right side
    212,082x = 20,467,397,574
  5. Step 5: Solve for x
    x = 20,467,397,574/212,082
  6. Step 6: Final answer
    x = 96,507

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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.