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Finding the Fourth Proportional to 50,640, 69,883.20 and 28,284

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Solution

The fourth proportional to 50,640, 69,883.20 and 28,284 is: 39,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,640 : 69,883.20 = 28,284 : x
  2. Step 2: Convert to fraction form
    50,640/69,883.20 = 28,284/x
  3. Step 3: Cross multiply
    50,640x = 69,883.20 × 28,284
  4. Step 4: Simplify right side
    50,640x = 1,976,576,428.80
  5. Step 5: Solve for x
    x = 1,976,576,428.80/50,640
  6. Step 6: Final answer
    x = 39,031.92

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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.