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Finding the Fourth Proportional to 50,419.78, 69,578.73 and 27,758.30

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Solution

The fourth proportional to 50,419.78, 69,578.73 and 27,758.30 is: 38,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,419.78 : 69,578.73 = 27,758.30 : x
  2. Step 2: Convert to fraction form
    50,419.78/69,578.73 = 27,758.30/x
  3. Step 3: Cross multiply
    50,419.78x = 69,578.73 × 27,758.30
  4. Step 4: Simplify right side
    50,419.78x = 1,931,387,260.96
  5. Step 5: Solve for x
    x = 1,931,387,260.96/50,419.78
  6. Step 6: Final answer
    x = 38,306.14

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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.