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Finding the Fourth Proportional to 99,812, 137,740.68 and 55,100

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Solution

The fourth proportional to 99,812, 137,740.68 and 55,100 is: 76,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,812 : 137,740.68 = 55,100 : x
  2. Step 2: Convert to fraction form
    99,812/137,740.68 = 55,100/x
  3. Step 3: Cross multiply
    99,812x = 137,740.68 × 55,100
  4. Step 4: Simplify right side
    99,812x = 7,589,511,468
  5. Step 5: Solve for x
    x = 7,589,511,468/99,812
  6. Step 6: Final answer
    x = 76,038.07

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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.