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Finding the Fourth Proportional to 50,040.32, 69,047.52 and 27,680

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Solution

The fourth proportional to 50,040.32, 69,047.52 and 27,680 is: 38,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,040.32 : 69,047.52 = 27,680 : x
  2. Step 2: Convert to fraction form
    50,040.32/69,047.52 = 27,680/x
  3. Step 3: Cross multiply
    50,040.32x = 69,047.52 × 27,680
  4. Step 4: Simplify right side
    50,040.32x = 1,911,235,353.60
  5. Step 5: Solve for x
    x = 1,911,235,353.60/50,040.32
  6. Step 6: Final answer
    x = 38,193.91

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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.