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Finding the Fourth Proportional to 73,971.98, 102,081.34 and 39,980.38

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Solution

The fourth proportional to 73,971.98, 102,081.34 and 39,980.38 is: 55,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,971.98 : 102,081.34 = 39,980.38 : x
  2. Step 2: Convert to fraction form
    73,971.98/102,081.34 = 39,980.38/x
  3. Step 3: Cross multiply
    73,971.98x = 102,081.34 × 39,980.38
  4. Step 4: Simplify right side
    73,971.98x = 4,081,250,764.11
  5. Step 5: Solve for x
    x = 4,081,250,764.11/73,971.98
  6. Step 6: Final answer
    x = 55,172.93

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Double scale
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1.5x scale

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.