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Finding the Fourth Proportional to 70,202.85, 105,283.47 and 20,283.39

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Solution

The fourth proportional to 70,202.85, 105,283.47 and 20,283.39 is: 30,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,202.85 : 105,283.47 = 20,283.39 : x
  2. Step 2: Convert to fraction form
    70,202.85/105,283.47 = 20,283.39/x
  3. Step 3: Cross multiply
    70,202.85x = 105,283.47 × 20,283.39
  4. Step 4: Simplify right side
    70,202.85x = 2,135,505,682.56
  5. Step 5: Solve for x
    x = 2,135,505,682.56/70,202.85
  6. Step 6: Final answer
    x = 30,419.07

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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.