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Finding the Fourth Proportional to 50,682, 69,938.96 and 27,711.40

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Solution

The fourth proportional to 50,682, 69,938.96 and 27,711.40 is: 38,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,682 : 69,938.96 = 27,711.40 : x
  2. Step 2: Convert to fraction form
    50,682/69,938.96 = 27,711.40/x
  3. Step 3: Cross multiply
    50,682x = 69,938.96 × 27,711.40
  4. Step 4: Simplify right side
    50,682x = 1,938,106,496.14
  5. Step 5: Solve for x
    x = 1,938,106,496.14/50,682
  6. Step 6: Final answer
    x = 38,240.53

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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.