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Finding the Fourth Proportional to 50,828, 70,142.66 and 28,472

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Solution

The fourth proportional to 50,828, 70,142.66 and 28,472 is: 39,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,828 : 70,142.66 = 28,472 : x
  2. Step 2: Convert to fraction form
    50,828/70,142.66 = 28,472/x
  3. Step 3: Cross multiply
    50,828x = 70,142.66 × 28,472
  4. Step 4: Simplify right side
    50,828x = 1,997,101,815.52
  5. Step 5: Solve for x
    x = 1,997,101,815.52/50,828
  6. Step 6: Final answer
    x = 39,291.37

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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.