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Finding the Fourth Proportional to 70,199.31, 105,283.49 and 20,268.56

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Solution

The fourth proportional to 70,199.31, 105,283.49 and 20,268.56 is: 30,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,199.31 : 105,283.49 = 20,268.56 : x
  2. Step 2: Convert to fraction form
    70,199.31/105,283.49 = 20,268.56/x
  3. Step 3: Cross multiply
    70,199.31x = 105,283.49 × 20,268.56
  4. Step 4: Simplify right side
    70,199.31x = 2,133,944,106.31
  5. Step 5: Solve for x
    x = 2,133,944,106.31/70,199.31
  6. Step 6: Final answer
    x = 30,398.36

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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.