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Finding the Fourth Proportional to 50,720, 69,993.84 and 28,364

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Solution

The fourth proportional to 50,720, 69,993.84 and 28,364 is: 39,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,720 : 69,993.84 = 28,364 : x
  2. Step 2: Convert to fraction form
    50,720/69,993.84 = 28,364/x
  3. Step 3: Cross multiply
    50,720x = 69,993.84 × 28,364
  4. Step 4: Simplify right side
    50,720x = 1,985,305,277.76
  5. Step 5: Solve for x
    x = 1,985,305,277.76/50,720
  6. Step 6: Final answer
    x = 39,142.45

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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.