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Finding the Fourth Proportional to 99,888, 137,845.44 and 55,176

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Solution

The fourth proportional to 99,888, 137,845.44 and 55,176 is: 76,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,888 : 137,845.44 = 55,176 : x
  2. Step 2: Convert to fraction form
    99,888/137,845.44 = 55,176/x
  3. Step 3: Cross multiply
    99,888x = 137,845.44 × 55,176
  4. Step 4: Simplify right side
    99,888x = 7,605,759,997.44
  5. Step 5: Solve for x
    x = 7,605,759,997.44/99,888
  6. Step 6: Final answer
    x = 76,142.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.