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Finding the Fourth Proportional to 48,741, 73,111.90 and 11,805

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Solution

The fourth proportional to 48,741, 73,111.90 and 11,805 is: 17,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,741 : 73,111.90 = 11,805 : x
  2. Step 2: Convert to fraction form
    48,741/73,111.90 = 11,805/x
  3. Step 3: Cross multiply
    48,741x = 73,111.90 × 11,805
  4. Step 4: Simplify right side
    48,741x = 863,085,979.50
  5. Step 5: Solve for x
    x = 863,085,979.50/48,741
  6. Step 6: Final answer
    x = 17,707.60

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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.