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Finding the Fourth Proportional to 70,685.10, 106,028.12 and 20,765

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Solution

The fourth proportional to 70,685.10, 106,028.12 and 20,765 is: 31,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,685.10 : 106,028.12 = 20,765 : x
  2. Step 2: Convert to fraction form
    70,685.10/106,028.12 = 20,765/x
  3. Step 3: Cross multiply
    70,685.10x = 106,028.12 × 20,765
  4. Step 4: Simplify right side
    70,685.10x = 2,201,673,911.80
  5. Step 5: Solve for x
    x = 2,201,673,911.80/70,685.10
  6. Step 6: Final answer
    x = 31,147.64

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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.