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Finding the Fourth Proportional to 50,578, 69,797.68 and 28,222

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Solution

The fourth proportional to 50,578, 69,797.68 and 28,222 is: 38,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,578 : 69,797.68 = 28,222 : x
  2. Step 2: Convert to fraction form
    50,578/69,797.68 = 28,222/x
  3. Step 3: Cross multiply
    50,578x = 69,797.68 × 28,222
  4. Step 4: Simplify right side
    50,578x = 1,969,830,124.96
  5. Step 5: Solve for x
    x = 1,969,830,124.96/50,578
  6. Step 6: Final answer
    x = 38,946.38

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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.