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Finding the Fourth Proportional to 150,639, 225,958.44 and 57,144.76

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Solution

The fourth proportional to 150,639, 225,958.44 and 57,144.76 is: 85,717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,639 : 225,958.44 = 57,144.76 : x
  2. Step 2: Convert to fraction form
    150,639/225,958.44 = 57,144.76/x
  3. Step 3: Cross multiply
    150,639x = 225,958.44 × 57,144.76
  4. Step 4: Simplify right side
    150,639x = 12,912,340,823.77
  5. Step 5: Solve for x
    x = 12,912,340,823.77/150,639
  6. Step 6: Final answer
    x = 85,717.12

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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.