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Finding the Fourth Proportional to 253,986.24, 380,987.19 and 76,494.54

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Solution

The fourth proportional to 253,986.24, 380,987.19 and 76,494.54 is: 114,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,986.24 : 380,987.19 = 76,494.54 : x
  2. Step 2: Convert to fraction form
    253,986.24/380,987.19 = 76,494.54/x
  3. Step 3: Cross multiply
    253,986.24x = 380,987.19 × 76,494.54
  4. Step 4: Simplify right side
    253,986.24x = 29,143,439,844.94
  5. Step 5: Solve for x
    x = 29,143,439,844.94/253,986.24
  6. Step 6: Final answer
    x = 114,744.17

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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.