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Finding the Fourth Proportional to 212,443.31, 318,206.25 and 99,954.97

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Solution

The fourth proportional to 212,443.31, 318,206.25 and 99,954.97 is: 149,716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,443.31 : 318,206.25 = 99,954.97 : x
  2. Step 2: Convert to fraction form
    212,443.31/318,206.25 = 99,954.97/x
  3. Step 3: Cross multiply
    212,443.31x = 318,206.25 × 99,954.97
  4. Step 4: Simplify right side
    212,443.31x = 31,806,295,377.05
  5. Step 5: Solve for x
    x = 31,806,295,377.05/212,443.31
  6. Step 6: Final answer
    x = 149,716.62

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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.