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Finding the Fourth Proportional to 136,705.64, 188,654.00 and 75,450.41

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Solution

The fourth proportional to 136,705.64, 188,654.00 and 75,450.41 is: 104,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,705.64 : 188,654.00 = 75,450.41 : x
  2. Step 2: Convert to fraction form
    136,705.64/188,654.00 = 75,450.41/x
  3. Step 3: Cross multiply
    136,705.64x = 188,654.00 × 75,450.41
  4. Step 4: Simplify right side
    136,705.64x = 14,234,020,327.62
  5. Step 5: Solve for x
    x = 14,234,020,327.62/136,705.64
  6. Step 6: Final answer
    x = 104,121.68

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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.