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Finding the Fourth Proportional to 70,082, 105,138.36 and 26,306

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Solution

The fourth proportional to 70,082, 105,138.36 and 26,306 is: 39,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,082 : 105,138.36 = 26,306 : x
  2. Step 2: Convert to fraction form
    70,082/105,138.36 = 26,306/x
  3. Step 3: Cross multiply
    70,082x = 105,138.36 × 26,306
  4. Step 4: Simplify right side
    70,082x = 2,765,769,698.16
  5. Step 5: Solve for x
    x = 2,765,769,698.16/70,082
  6. Step 6: Final answer
    x = 39,464.77

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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.