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Finding the Fourth Proportional to 74,375, 102,638.22 and 40,841.72

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Solution

The fourth proportional to 74,375, 102,638.22 and 40,841.72 is: 56,361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,375 : 102,638.22 = 40,841.72 : x
  2. Step 2: Convert to fraction form
    74,375/102,638.22 = 40,841.72/x
  3. Step 3: Cross multiply
    74,375x = 102,638.22 × 40,841.72
  4. Step 4: Simplify right side
    74,375x = 4,191,921,442.54
  5. Step 5: Solve for x
    x = 4,191,921,442.54/74,375
  6. Step 6: Final answer
    x = 56,361.97

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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.