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Finding the Fourth Proportional to 50,476, 69,659.28 and 28,120

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Solution

The fourth proportional to 50,476, 69,659.28 and 28,120 is: 38,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,476 : 69,659.28 = 28,120 : x
  2. Step 2: Convert to fraction form
    50,476/69,659.28 = 28,120/x
  3. Step 3: Cross multiply
    50,476x = 69,659.28 × 28,120
  4. Step 4: Simplify right side
    50,476x = 1,958,818,953.60
  5. Step 5: Solve for x
    x = 1,958,818,953.60/50,476
  6. Step 6: Final answer
    x = 38,806.94

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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.