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Finding the Fourth Proportional to 51,444, 71,001.81 and 30,223.26

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Solution

The fourth proportional to 51,444, 71,001.81 and 30,223.26 is: 41,713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,444 : 71,001.81 = 30,223.26 : x
  2. Step 2: Convert to fraction form
    51,444/71,001.81 = 30,223.26/x
  3. Step 3: Cross multiply
    51,444x = 71,001.81 × 30,223.26
  4. Step 4: Simplify right side
    51,444x = 2,145,906,164.10
  5. Step 5: Solve for x
    x = 2,145,906,164.10/51,444
  6. Step 6: Final answer
    x = 41,713.44

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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.