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Finding the Fourth Proportional to 70,105.45, 105,158.16 and 20,857.45

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Solution

The fourth proportional to 70,105.45, 105,158.16 and 20,857.45 is: 31,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,105.45 : 105,158.16 = 20,857.45 : x
  2. Step 2: Convert to fraction form
    70,105.45/105,158.16 = 20,857.45/x
  3. Step 3: Cross multiply
    70,105.45x = 105,158.16 × 20,857.45
  4. Step 4: Simplify right side
    70,105.45x = 2,193,330,960.00
  5. Step 5: Solve for x
    x = 2,193,330,960.00/70,105.45
  6. Step 6: Final answer
    x = 31,286.17

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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.