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Finding the Fourth Proportional to 50,436, 69,603.84 and 28,080

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Solution

The fourth proportional to 50,436, 69,603.84 and 28,080 is: 38,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,436 : 69,603.84 = 28,080 : x
  2. Step 2: Convert to fraction form
    50,436/69,603.84 = 28,080/x
  3. Step 3: Cross multiply
    50,436x = 69,603.84 × 28,080
  4. Step 4: Simplify right side
    50,436x = 1,954,475,827.20
  5. Step 5: Solve for x
    x = 1,954,475,827.20/50,436
  6. Step 6: Final answer
    x = 38,751.60

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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.