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Finding the Fourth Proportional to 50,674, 69,930.12 and 28,318

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Solution

The fourth proportional to 50,674, 69,930.12 and 28,318 is: 39,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,674 : 69,930.12 = 28,318 : x
  2. Step 2: Convert to fraction form
    50,674/69,930.12 = 28,318/x
  3. Step 3: Cross multiply
    50,674x = 69,930.12 × 28,318
  4. Step 4: Simplify right side
    50,674x = 1,980,281,138.16
  5. Step 5: Solve for x
    x = 1,980,281,138.16/50,674
  6. Step 6: Final answer
    x = 39,078.84

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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.