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Finding the Fourth Proportional to 99,845, 137,770.44 and 57,395.60

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Solution

The fourth proportional to 99,845, 137,770.44 and 57,395.60 is: 79,196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,845 : 137,770.44 = 57,395.60 : x
  2. Step 2: Convert to fraction form
    99,845/137,770.44 = 57,395.60/x
  3. Step 3: Cross multiply
    99,845x = 137,770.44 × 57,395.60
  4. Step 4: Simplify right side
    99,845x = 7,907,417,066.06
  5. Step 5: Solve for x
    x = 7,907,417,066.06/99,845
  6. Step 6: Final answer
    x = 79,196.93

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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.