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Finding the Fourth Proportional to 49,178, 73,767.72 and 12,242

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Solution

The fourth proportional to 49,178, 73,767.72 and 12,242 is: 18,363.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,178 : 73,767.72 = 12,242 : x
  2. Step 2: Convert to fraction form
    49,178/73,767.72 = 12,242/x
  3. Step 3: Cross multiply
    49,178x = 73,767.72 × 12,242
  4. Step 4: Simplify right side
    49,178x = 903,064,428.24
  5. Step 5: Solve for x
    x = 903,064,428.24/49,178
  6. Step 6: Final answer
    x = 18,363.18

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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.