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Finding the Fourth Proportional to 73,942.43, 102,040.64 and 39,950.98

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Solution

The fourth proportional to 73,942.43, 102,040.64 and 39,950.98 is: 55,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,942.43 : 102,040.64 = 39,950.98 : x
  2. Step 2: Convert to fraction form
    73,942.43/102,040.64 = 39,950.98/x
  3. Step 3: Cross multiply
    73,942.43x = 102,040.64 × 39,950.98
  4. Step 4: Simplify right side
    73,942.43x = 4,076,623,867.90
  5. Step 5: Solve for x
    x = 4,076,623,867.90/73,942.43
  6. Step 6: Final answer
    x = 55,132.40

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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.