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Finding the Fourth Proportional to 76,379.60, 105,380 and 44,110.08

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Solution

The fourth proportional to 76,379.60, 105,380 and 44,110.08 is: 60,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,379.60 : 105,380 = 44,110.08 : x
  2. Step 2: Convert to fraction form
    76,379.60/105,380 = 44,110.08/x
  3. Step 3: Cross multiply
    76,379.60x = 105,380 × 44,110.08
  4. Step 4: Simplify right side
    76,379.60x = 4,648,320,230.40
  5. Step 5: Solve for x
    x = 4,648,320,230.40/76,379.60
  6. Step 6: Final answer
    x = 60,858.14

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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.