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Finding the Fourth Proportional to 101,245.80, 151,782.28 and 71,570.28

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Solution

The fourth proportional to 101,245.80, 151,782.28 and 71,570.28 is: 107,294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,245.80 : 151,782.28 = 71,570.28 : x
  2. Step 2: Convert to fraction form
    101,245.80/151,782.28 = 71,570.28/x
  3. Step 3: Cross multiply
    101,245.80x = 151,782.28 × 71,570.28
  4. Step 4: Simplify right side
    101,245.80x = 10,863,100,278.64
  5. Step 5: Solve for x
    x = 10,863,100,278.64/101,245.80
  6. Step 6: Final answer
    x = 107,294.33

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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.