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Finding the Fourth Proportional to 107,906.38, 148,930.04 and 67,654.64

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Solution

The fourth proportional to 107,906.38, 148,930.04 and 67,654.64 is: 93,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,906.38 : 148,930.04 = 67,654.64 : x
  2. Step 2: Convert to fraction form
    107,906.38/148,930.04 = 67,654.64/x
  3. Step 3: Cross multiply
    107,906.38x = 148,930.04 × 67,654.64
  4. Step 4: Simplify right side
    107,906.38x = 10,075,808,241.39
  5. Step 5: Solve for x
    x = 10,075,808,241.39/107,906.38
  6. Step 6: Final answer
    x = 93,375.46

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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.