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Finding the Fourth Proportional to 50,734, 70,012.92 and 28,378

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Solution

The fourth proportional to 50,734, 70,012.92 and 28,378 is: 39,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,734 : 70,012.92 = 28,378 : x
  2. Step 2: Convert to fraction form
    50,734/70,012.92 = 28,378/x
  3. Step 3: Cross multiply
    50,734x = 70,012.92 × 28,378
  4. Step 4: Simplify right side
    50,734x = 1,986,826,643.76
  5. Step 5: Solve for x
    x = 1,986,826,643.76/50,734
  6. Step 6: Final answer
    x = 39,161.64

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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.