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Finding the Fourth Proportional to 73,927.50, 102,020.67 and 40,393.50

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Solution

The fourth proportional to 73,927.50, 102,020.67 and 40,393.50 is: 55,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,927.50 : 102,020.67 = 40,393.50 : x
  2. Step 2: Convert to fraction form
    73,927.50/102,020.67 = 40,393.50/x
  3. Step 3: Cross multiply
    73,927.50x = 102,020.67 × 40,393.50
  4. Step 4: Simplify right side
    73,927.50x = 4,120,971,933.65
  5. Step 5: Solve for x
    x = 4,120,971,933.65/73,927.50
  6. Step 6: Final answer
    x = 55,743.42

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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.