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Finding the Fourth Proportional to 49,085.40, 73,628.10 and 12,149.40

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Solution

The fourth proportional to 49,085.40, 73,628.10 and 12,149.40 is: 18,224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,085.40 : 73,628.10 = 12,149.40 : x
  2. Step 2: Convert to fraction form
    49,085.40/73,628.10 = 12,149.40/x
  3. Step 3: Cross multiply
    49,085.40x = 73,628.10 × 12,149.40
  4. Step 4: Simplify right side
    49,085.40x = 894,537,238.14
  5. Step 5: Solve for x
    x = 894,537,238.14/49,085.40
  6. Step 6: Final answer
    x = 18,224.10

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