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Finding the Fourth Proportional to 50,784, 70,081.92 and 28,428.48

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Solution

The fourth proportional to 50,784, 70,081.92 and 28,428.48 is: 39,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,784 : 70,081.92 = 28,428.48 : x
  2. Step 2: Convert to fraction form
    50,784/70,081.92 = 28,428.48/x
  3. Step 3: Cross multiply
    50,784x = 70,081.92 × 28,428.48
  4. Step 4: Simplify right side
    50,784x = 1,992,322,461.08
  5. Step 5: Solve for x
    x = 1,992,322,461.08/50,784
  6. Step 6: Final answer
    x = 39,231.30

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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.