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Finding the Fourth Proportional to 76,977, 106,228.58 and 41,649

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Solution

The fourth proportional to 76,977, 106,228.58 and 41,649 is: 57,475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,977 : 106,228.58 = 41,649 : x
  2. Step 2: Convert to fraction form
    76,977/106,228.58 = 41,649/x
  3. Step 3: Cross multiply
    76,977x = 106,228.58 × 41,649
  4. Step 4: Simplify right side
    76,977x = 4,424,314,128.42
  5. Step 5: Solve for x
    x = 4,424,314,128.42/76,977
  6. Step 6: Final answer
    x = 57,475.79

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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.