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Finding the Fourth Proportional to 49,430, 74,145.36 and 12,494

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Solution

The fourth proportional to 49,430, 74,145.36 and 12,494 is: 18,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,430 : 74,145.36 = 12,494 : x
  2. Step 2: Convert to fraction form
    49,430/74,145.36 = 12,494/x
  3. Step 3: Cross multiply
    49,430x = 74,145.36 × 12,494
  4. Step 4: Simplify right side
    49,430x = 926,372,127.84
  5. Step 5: Solve for x
    x = 926,372,127.84/49,430
  6. Step 6: Final answer
    x = 18,741.09

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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.