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Finding the Fourth Proportional to 50,876.07, 70,209.80 and 28,216

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Solution

The fourth proportional to 50,876.07, 70,209.80 and 28,216 is: 38,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,876.07 : 70,209.80 = 28,216 : x
  2. Step 2: Convert to fraction form
    50,876.07/70,209.80 = 28,216/x
  3. Step 3: Cross multiply
    50,876.07x = 70,209.80 × 28,216
  4. Step 4: Simplify right side
    50,876.07x = 1,981,039,716.80
  5. Step 5: Solve for x
    x = 1,981,039,716.80/50,876.07
  6. Step 6: Final answer
    x = 38,938.54

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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.