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Finding the Fourth Proportional to 212,443.12, 318,205.97 and 99,954.78

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Solution

The fourth proportional to 212,443.12, 318,205.97 and 99,954.78 is: 149,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,443.12 : 318,205.97 = 99,954.78 : x
  2. Step 2: Convert to fraction form
    212,443.12/318,205.97 = 99,954.78/x
  3. Step 3: Cross multiply
    212,443.12x = 318,205.97 × 99,954.78
  4. Step 4: Simplify right side
    212,443.12x = 31,806,206,407.82
  5. Step 5: Solve for x
    x = 31,806,206,407.82/212,443.12
  6. Step 6: Final answer
    x = 149,716.34

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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.