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Finding the Fourth Proportional to 105,016.50, 157,524.75 and 31,144.50

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Solution

The fourth proportional to 105,016.50, 157,524.75 and 31,144.50 is: 46,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,016.50 : 157,524.75 = 31,144.50 : x
  2. Step 2: Convert to fraction form
    105,016.50/157,524.75 = 31,144.50/x
  3. Step 3: Cross multiply
    105,016.50x = 157,524.75 × 31,144.50
  4. Step 4: Simplify right side
    105,016.50x = 4,906,029,576.38
  5. Step 5: Solve for x
    x = 4,906,029,576.38/105,016.50
  6. Step 6: Final answer
    x = 46,716.75

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1.5x scale

Why These Related Problems?

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