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Finding the Fourth Proportional to 51,393.80, 70,945.31 and 31,257.14

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Solution

The fourth proportional to 51,393.80, 70,945.31 and 31,257.14 is: 43,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,393.80 : 70,945.31 = 31,257.14 : x
  2. Step 2: Convert to fraction form
    51,393.80/70,945.31 = 31,257.14/x
  3. Step 3: Cross multiply
    51,393.80x = 70,945.31 × 31,257.14
  4. Step 4: Simplify right side
    51,393.80x = 2,217,546,976.00
  5. Step 5: Solve for x
    x = 2,217,546,976.00/51,393.80
  6. Step 6: Final answer
    x = 43,148.15

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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.