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Finding the Fourth Proportional to 49,840, 68,779.20 and 29,968

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Solution

The fourth proportional to 49,840, 68,779.20 and 29,968 is: 41,355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,840 : 68,779.20 = 29,968 : x
  2. Step 2: Convert to fraction form
    49,840/68,779.20 = 29,968/x
  3. Step 3: Cross multiply
    49,840x = 68,779.20 × 29,968
  4. Step 4: Simplify right side
    49,840x = 2,061,175,065.60
  5. Step 5: Solve for x
    x = 2,061,175,065.60/49,840
  6. Step 6: Final answer
    x = 41,355.84

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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.