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Finding the Fourth Proportional to 50,783.88, 70,081.92 and 27,813.72

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Solution

The fourth proportional to 50,783.88, 70,081.92 and 27,813.72 is: 38,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,783.88 : 70,081.92 = 27,813.72 : x
  2. Step 2: Convert to fraction form
    50,783.88/70,081.92 = 27,813.72/x
  3. Step 3: Cross multiply
    50,783.88x = 70,081.92 × 27,813.72
  4. Step 4: Simplify right side
    50,783.88x = 1,949,238,899.94
  5. Step 5: Solve for x
    x = 1,949,238,899.94/50,783.88
  6. Step 6: Final answer
    x = 38,383.02

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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.