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Finding the Fourth Proportional to 74,443, 102,731.34 and 40,909

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Solution

The fourth proportional to 74,443, 102,731.34 and 40,909 is: 56,454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,443 : 102,731.34 = 40,909 : x
  2. Step 2: Convert to fraction form
    74,443/102,731.34 = 40,909/x
  3. Step 3: Cross multiply
    74,443x = 102,731.34 × 40,909
  4. Step 4: Simplify right side
    74,443x = 4,202,636,388.06
  5. Step 5: Solve for x
    x = 4,202,636,388.06/74,443
  6. Step 6: Final answer
    x = 56,454.42

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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.