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Finding the Fourth Proportional to 70,094, 105,158.28 and 20,846

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Solution

The fourth proportional to 70,094, 105,158.28 and 20,846 is: 31,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,094 : 105,158.28 = 20,846 : x
  2. Step 2: Convert to fraction form
    70,094/105,158.28 = 20,846/x
  3. Step 3: Cross multiply
    70,094x = 105,158.28 × 20,846
  4. Step 4: Simplify right side
    70,094x = 2,192,129,504.88
  5. Step 5: Solve for x
    x = 2,192,129,504.88/70,094
  6. Step 6: Final answer
    x = 31,274.14

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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.