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Finding the Fourth Proportional to 50,120, 69,165.60 and 27,765.44

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Solution

The fourth proportional to 50,120, 69,165.60 and 27,765.44 is: 38,316.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,120 : 69,165.60 = 27,765.44 : x
  2. Step 2: Convert to fraction form
    50,120/69,165.60 = 27,765.44/x
  3. Step 3: Cross multiply
    50,120x = 69,165.60 × 27,765.44
  4. Step 4: Simplify right side
    50,120x = 1,920,413,316.86
  5. Step 5: Solve for x
    x = 1,920,413,316.86/50,120
  6. Step 6: Final answer
    x = 38,316.31

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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.