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Finding the Fourth Proportional to 119,729.94, 165,223.56 and 66,016

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Solution

The fourth proportional to 119,729.94, 165,223.56 and 66,016 is: 91,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,729.94 : 165,223.56 = 66,016 : x
  2. Step 2: Convert to fraction form
    119,729.94/165,223.56 = 66,016/x
  3. Step 3: Cross multiply
    119,729.94x = 165,223.56 × 66,016
  4. Step 4: Simplify right side
    119,729.94x = 10,907,398,536.96
  5. Step 5: Solve for x
    x = 10,907,398,536.96/119,729.94
  6. Step 6: Final answer
    x = 91,100.01

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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.