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Finding the Fourth Proportional to 76,361.85, 105,379.11 and 42,375.47

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Solution

The fourth proportional to 76,361.85, 105,379.11 and 42,375.47 is: 58,478.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,361.85 : 105,379.11 = 42,375.47 : x
  2. Step 2: Convert to fraction form
    76,361.85/105,379.11 = 42,375.47/x
  3. Step 3: Cross multiply
    76,361.85x = 105,379.11 × 42,375.47
  4. Step 4: Simplify right side
    76,361.85x = 4,465,488,787.54
  5. Step 5: Solve for x
    x = 4,465,488,787.54/76,361.85
  6. Step 6: Final answer
    x = 58,478.01

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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.