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Finding the Fourth Proportional to 50,932, 70,282.91 and 28,271.44

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Solution

The fourth proportional to 50,932, 70,282.91 and 28,271.44 is: 39,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,932 : 70,282.91 = 28,271.44 : x
  2. Step 2: Convert to fraction form
    50,932/70,282.91 = 28,271.44/x
  3. Step 3: Cross multiply
    50,932x = 70,282.91 × 28,271.44
  4. Step 4: Simplify right side
    50,932x = 1,986,999,073.09
  5. Step 5: Solve for x
    x = 1,986,999,073.09/50,932
  6. Step 6: Final answer
    x = 39,012.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.