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Finding the Fourth Proportional to 103,072.44, 154,630.71 and 31,993.53

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Solution

The fourth proportional to 103,072.44, 154,630.71 and 31,993.53 is: 47,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,072.44 : 154,630.71 = 31,993.53 : x
  2. Step 2: Convert to fraction form
    103,072.44/154,630.71 = 31,993.53/x
  3. Step 3: Cross multiply
    103,072.44x = 154,630.71 × 31,993.53
  4. Step 4: Simplify right side
    103,072.44x = 4,947,181,486.15
  5. Step 5: Solve for x
    x = 4,947,181,486.15/103,072.44
  6. Step 6: Final answer
    x = 47,997.13

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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.