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Finding the Fourth Proportional to 50,245.84, 69,341.64 and 27,890

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Solution

The fourth proportional to 50,245.84, 69,341.64 and 27,890 is: 38,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,245.84 : 69,341.64 = 27,890 : x
  2. Step 2: Convert to fraction form
    50,245.84/69,341.64 = 27,890/x
  3. Step 3: Cross multiply
    50,245.84x = 69,341.64 × 27,890
  4. Step 4: Simplify right side
    50,245.84x = 1,933,938,339.60
  5. Step 5: Solve for x
    x = 1,933,938,339.60/50,245.84
  6. Step 6: Final answer
    x = 38,489.52

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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.