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Finding the Fourth Proportional to 51,703, 71,346.78 and 30,481.24

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Solution

The fourth proportional to 51,703, 71,346.78 and 30,481.24 is: 42,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,703 : 71,346.78 = 30,481.24 : x
  2. Step 2: Convert to fraction form
    51,703/71,346.78 = 30,481.24/x
  3. Step 3: Cross multiply
    51,703x = 71,346.78 × 30,481.24
  4. Step 4: Simplify right side
    51,703x = 2,174,738,324.41
  5. Step 5: Solve for x
    x = 2,174,738,324.41/51,703
  6. Step 6: Final answer
    x = 42,062.13

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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.