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Finding the Fourth Proportional to 99,805, 137,731.02 and 55,093

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Solution

The fourth proportional to 99,805, 137,731.02 and 55,093 is: 76,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,805 : 137,731.02 = 55,093 : x
  2. Step 2: Convert to fraction form
    99,805/137,731.02 = 55,093/x
  3. Step 3: Cross multiply
    99,805x = 137,731.02 × 55,093
  4. Step 4: Simplify right side
    99,805x = 7,588,015,084.86
  5. Step 5: Solve for x
    x = 7,588,015,084.86/99,805
  6. Step 6: Final answer
    x = 76,028.41

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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.