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Finding the Fourth Proportional to 198,453.24, 297,678.78 and 72,093.24

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Solution

The fourth proportional to 198,453.24, 297,678.78 and 72,093.24 is: 108,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,453.24 : 297,678.78 = 72,093.24 : x
  2. Step 2: Convert to fraction form
    198,453.24/297,678.78 = 72,093.24/x
  3. Step 3: Cross multiply
    198,453.24x = 297,678.78 × 72,093.24
  4. Step 4: Simplify right side
    198,453.24x = 21,460,627,729.45
  5. Step 5: Solve for x
    x = 21,460,627,729.45/198,453.24
  6. Step 6: Final answer
    x = 108,139.47

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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.