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Finding the Fourth Proportional to 68,741.76, 103,103.52 and 31,261.44

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Solution

The fourth proportional to 68,741.76, 103,103.52 and 31,261.44 is: 46,888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,741.76 : 103,103.52 = 31,261.44 : x
  2. Step 2: Convert to fraction form
    68,741.76/103,103.52 = 31,261.44/x
  3. Step 3: Cross multiply
    68,741.76x = 103,103.52 × 31,261.44
  4. Step 4: Simplify right side
    68,741.76x = 3,223,164,504.27
  5. Step 5: Solve for x
    x = 3,223,164,504.27/68,741.76
  6. Step 6: Final answer
    x = 46,888.01

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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.