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Finding the Fourth Proportional to 136,802, 205,189.56 and 66,729.68

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Solution

The fourth proportional to 136,802, 205,189.56 and 66,729.68 is: 100,087.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,802 : 205,189.56 = 66,729.68 : x
  2. Step 2: Convert to fraction form
    136,802/205,189.56 = 66,729.68/x
  3. Step 3: Cross multiply
    136,802x = 205,189.56 × 66,729.68
  4. Step 4: Simplify right side
    136,802x = 13,692,233,678.14
  5. Step 5: Solve for x
    x = 13,692,233,678.14/136,802
  6. Step 6: Final answer
    x = 100,087.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.