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Finding the Fourth Proportional to 49,278, 73,918.62 and 12,342

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Solution

The fourth proportional to 49,278, 73,918.62 and 12,342 is: 18,513.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,278 : 73,918.62 = 12,342 : x
  2. Step 2: Convert to fraction form
    49,278/73,918.62 = 12,342/x
  3. Step 3: Cross multiply
    49,278x = 73,918.62 × 12,342
  4. Step 4: Simplify right side
    49,278x = 912,303,608.04
  5. Step 5: Solve for x
    x = 912,303,608.04/49,278
  6. Step 6: Final answer
    x = 18,513.41

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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.