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Finding the Fourth Proportional to 76,178.44, 114,297.72 and 55,144.95

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Solution

The fourth proportional to 76,178.44, 114,297.72 and 55,144.95 is: 82,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,178.44 : 114,297.72 = 55,144.95 : x
  2. Step 2: Convert to fraction form
    76,178.44/114,297.72 = 55,144.95/x
  3. Step 3: Cross multiply
    76,178.44x = 114,297.72 × 55,144.95
  4. Step 4: Simplify right side
    76,178.44x = 6,302,942,054.51
  5. Step 5: Solve for x
    x = 6,302,942,054.51/76,178.44
  6. Step 6: Final answer
    x = 82,739.19

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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.