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Finding the Fourth Proportional to 49,178.80, 73,768.12 and 12,242.80

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Solution

The fourth proportional to 49,178.80, 73,768.12 and 12,242.80 is: 18,364.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,178.80 : 73,768.12 = 12,242.80 : x
  2. Step 2: Convert to fraction form
    49,178.80/73,768.12 = 12,242.80/x
  3. Step 3: Cross multiply
    49,178.80x = 73,768.12 × 12,242.80
  4. Step 4: Simplify right side
    49,178.80x = 903,128,339.54
  5. Step 5: Solve for x
    x = 903,128,339.54/49,178.80
  6. Step 6: Final answer
    x = 18,364.18

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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.