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Finding the Fourth Proportional to 50,015, 69,020.70 and 27,661.08

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Solution

The fourth proportional to 50,015, 69,020.70 and 27,661.08 is: 38,172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,015 : 69,020.70 = 27,661.08 : x
  2. Step 2: Convert to fraction form
    50,015/69,020.70 = 27,661.08/x
  3. Step 3: Cross multiply
    50,015x = 69,020.70 × 27,661.08
  4. Step 4: Simplify right side
    50,015x = 1,909,187,104.36
  5. Step 5: Solve for x
    x = 1,909,187,104.36/50,015
  6. Step 6: Final answer
    x = 38,172.29

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1.5x scale

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.