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Finding the Fourth Proportional to 50,085, 69,119.46 and 27,729

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Solution

The fourth proportional to 50,085, 69,119.46 and 27,729 is: 38,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,085 : 69,119.46 = 27,729 : x
  2. Step 2: Convert to fraction form
    50,085/69,119.46 = 27,729/x
  3. Step 3: Cross multiply
    50,085x = 69,119.46 × 27,729
  4. Step 4: Simplify right side
    50,085x = 1,916,613,506.34
  5. Step 5: Solve for x
    x = 1,916,613,506.34/50,085
  6. Step 6: Final answer
    x = 38,267.22

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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.