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Finding the Fourth Proportional to 76,610.70, 105,635.59 and 53,942.44

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Solution

The fourth proportional to 76,610.70, 105,635.59 and 53,942.44 is: 74,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,610.70 : 105,635.59 = 53,942.44 : x
  2. Step 2: Convert to fraction form
    76,610.70/105,635.59 = 53,942.44/x
  3. Step 3: Cross multiply
    76,610.70x = 105,635.59 × 53,942.44
  4. Step 4: Simplify right side
    76,610.70x = 5,698,241,475.44
  5. Step 5: Solve for x
    x = 5,698,241,475.44/76,610.70
  6. Step 6: Final answer
    x = 74,379.19

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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.