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Finding the Fourth Proportional to 76,890.44, 106,091.70 and 45,057.44

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Solution

The fourth proportional to 76,890.44, 106,091.70 and 45,057.44 is: 62,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,890.44 : 106,091.70 = 45,057.44 : x
  2. Step 2: Convert to fraction form
    76,890.44/106,091.70 = 45,057.44/x
  3. Step 3: Cross multiply
    76,890.44x = 106,091.70 × 45,057.44
  4. Step 4: Simplify right side
    76,890.44x = 4,780,220,407.25
  5. Step 5: Solve for x
    x = 4,780,220,407.25/76,890.44
  6. Step 6: Final answer
    x = 62,169.24

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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.