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Finding the Fourth Proportional to 73,965.98, 102,073.06 and 39,974.38

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Solution

The fourth proportional to 73,965.98, 102,073.06 and 39,974.38 is: 55,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,965.98 : 102,073.06 = 39,974.38 : x
  2. Step 2: Convert to fraction form
    73,965.98/102,073.06 = 39,974.38/x
  3. Step 3: Cross multiply
    73,965.98x = 102,073.06 × 39,974.38
  4. Step 4: Simplify right side
    73,965.98x = 4,080,307,288.20
  5. Step 5: Solve for x
    x = 4,080,307,288.20/73,965.98
  6. Step 6: Final answer
    x = 55,164.65

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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.