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Finding the Fourth Proportional to 115,377.44, 173,057.96 and 31,142.40

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Solution

The fourth proportional to 115,377.44, 173,057.96 and 31,142.40 is: 46,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,377.44 : 173,057.96 = 31,142.40 : x
  2. Step 2: Convert to fraction form
    115,377.44/173,057.96 = 31,142.40/x
  3. Step 3: Cross multiply
    115,377.44x = 173,057.96 × 31,142.40
  4. Step 4: Simplify right side
    115,377.44x = 5,389,440,213.50
  5. Step 5: Solve for x
    x = 5,389,440,213.50/115,377.44
  6. Step 6: Final answer
    x = 46,711.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.