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Finding the Fourth Proportional to 50,298.80, 69,412 and 27,638.03

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Solution

The fourth proportional to 50,298.80, 69,412 and 27,638.03 is: 38,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,298.80 : 69,412 = 27,638.03 : x
  2. Step 2: Convert to fraction form
    50,298.80/69,412 = 27,638.03/x
  3. Step 3: Cross multiply
    50,298.80x = 69,412 × 27,638.03
  4. Step 4: Simplify right side
    50,298.80x = 1,918,410,938.36
  5. Step 5: Solve for x
    x = 1,918,410,938.36/50,298.80
  6. Step 6: Final answer
    x = 38,140.29

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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.