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Finding the Fourth Proportional to 50,558, 69,770.08 and 28,202

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Solution

The fourth proportional to 50,558, 69,770.08 and 28,202 is: 38,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,558 : 69,770.08 = 28,202 : x
  2. Step 2: Convert to fraction form
    50,558/69,770.08 = 28,202/x
  3. Step 3: Cross multiply
    50,558x = 69,770.08 × 28,202
  4. Step 4: Simplify right side
    50,558x = 1,967,655,796.16
  5. Step 5: Solve for x
    x = 1,967,655,796.16/50,558
  6. Step 6: Final answer
    x = 38,918.78

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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.