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Finding the Fourth Proportional to 74,039.22, 102,174.96 and 40,048.38

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Solution

The fourth proportional to 74,039.22, 102,174.96 and 40,048.38 is: 55,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,039.22 : 102,174.96 = 40,048.38 : x
  2. Step 2: Convert to fraction form
    74,039.22/102,174.96 = 40,048.38/x
  3. Step 3: Cross multiply
    74,039.22x = 102,174.96 × 40,048.38
  4. Step 4: Simplify right side
    74,039.22x = 4,091,941,624.56
  5. Step 5: Solve for x
    x = 4,091,941,624.56/74,039.22
  6. Step 6: Final answer
    x = 55,267.22

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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.