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Finding the Fourth Proportional to 207,398.73, 311,283.53 and 106,265.78

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Solution

The fourth proportional to 207,398.73, 311,283.53 and 106,265.78 is: 159,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,398.73 : 311,283.53 = 106,265.78 : x
  2. Step 2: Convert to fraction form
    207,398.73/311,283.53 = 106,265.78/x
  3. Step 3: Cross multiply
    207,398.73x = 311,283.53 × 106,265.78
  4. Step 4: Simplify right side
    207,398.73x = 33,078,785,028.86
  5. Step 5: Solve for x
    x = 33,078,785,028.86/207,398.73
  6. Step 6: Final answer
    x = 159,493.67

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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.