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Finding the Fourth Proportional to 49,430, 74,173.38 and 49,028.78

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Solution

The fourth proportional to 49,430, 74,173.38 and 49,028.78 is: 73,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,430 : 74,173.38 = 49,028.78 : x
  2. Step 2: Convert to fraction form
    49,430/74,173.38 = 49,028.78/x
  3. Step 3: Cross multiply
    49,430x = 74,173.38 × 49,028.78
  4. Step 4: Simplify right side
    49,430x = 3,636,630,329.88
  5. Step 5: Solve for x
    x = 3,636,630,329.88/49,430
  6. Step 6: Final answer
    x = 73,571.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.