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Finding the Fourth Proportional to 50,680, 69,940.56 and 28,324

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Solution

The fourth proportional to 50,680, 69,940.56 and 28,324 is: 39,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,680 : 69,940.56 = 28,324 : x
  2. Step 2: Convert to fraction form
    50,680/69,940.56 = 28,324/x
  3. Step 3: Cross multiply
    50,680x = 69,940.56 × 28,324
  4. Step 4: Simplify right side
    50,680x = 1,980,996,421.44
  5. Step 5: Solve for x
    x = 1,980,996,421.44/50,680
  6. Step 6: Final answer
    x = 39,088.33

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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.