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Finding the Fourth Proportional to 101,797.62, 152,694.81 and 31,680.78

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Solution

The fourth proportional to 101,797.62, 152,694.81 and 31,680.78 is: 47,520.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,797.62 : 152,694.81 = 31,680.78 : x
  2. Step 2: Convert to fraction form
    101,797.62/152,694.81 = 31,680.78/x
  3. Step 3: Cross multiply
    101,797.62x = 152,694.81 × 31,680.78
  4. Step 4: Simplify right side
    101,797.62x = 4,837,490,682.75
  5. Step 5: Solve for x
    x = 4,837,490,682.75/101,797.62
  6. Step 6: Final answer
    x = 47,520.67

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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.