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Finding the Fourth Proportional to 49,138, 67,810.38 and 26,782

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Solution

The fourth proportional to 49,138, 67,810.38 and 26,782 is: 36,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,138 : 67,810.38 = 26,782 : x
  2. Step 2: Convert to fraction form
    49,138/67,810.38 = 26,782/x
  3. Step 3: Cross multiply
    49,138x = 67,810.38 × 26,782
  4. Step 4: Simplify right side
    49,138x = 1,816,097,597.16
  5. Step 5: Solve for x
    x = 1,816,097,597.16/49,138
  6. Step 6: Final answer
    x = 36,959.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.