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Finding the Fourth Proportional to 74,071.76, 102,219.22 and 40,537.76

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Solution

The fourth proportional to 74,071.76, 102,219.22 and 40,537.76 is: 55,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,071.76 : 102,219.22 = 40,537.76 : x
  2. Step 2: Convert to fraction form
    74,071.76/102,219.22 = 40,537.76/x
  3. Step 3: Cross multiply
    74,071.76x = 102,219.22 × 40,537.76
  4. Step 4: Simplify right side
    74,071.76x = 4,143,738,207.75
  5. Step 5: Solve for x
    x = 4,143,738,207.75/74,071.76
  6. Step 6: Final answer
    x = 55,942.21

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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.