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Finding the Fourth Proportional to 50,668, 69,921.84 and 28,312

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Solution

The fourth proportional to 50,668, 69,921.84 and 28,312 is: 39,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,668 : 69,921.84 = 28,312 : x
  2. Step 2: Convert to fraction form
    50,668/69,921.84 = 28,312/x
  3. Step 3: Cross multiply
    50,668x = 69,921.84 × 28,312
  4. Step 4: Simplify right side
    50,668x = 1,979,627,134.08
  5. Step 5: Solve for x
    x = 1,979,627,134.08/50,668
  6. Step 6: Final answer
    x = 39,070.56

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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.