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Finding the Fourth Proportional to 50,724, 69,999.36 and 28,368

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Solution

The fourth proportional to 50,724, 69,999.36 and 28,368 is: 39,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,724 : 69,999.36 = 28,368 : x
  2. Step 2: Convert to fraction form
    50,724/69,999.36 = 28,368/x
  3. Step 3: Cross multiply
    50,724x = 69,999.36 × 28,368
  4. Step 4: Simplify right side
    50,724x = 1,985,741,844.48
  5. Step 5: Solve for x
    x = 1,985,741,844.48/50,724
  6. Step 6: Final answer
    x = 39,147.97

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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.