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Finding the Fourth Proportional to 119,882.16, 165,440.16 and 66,168

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Solution

The fourth proportional to 119,882.16, 165,440.16 and 66,168 is: 91,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,882.16 : 165,440.16 = 66,168 : x
  2. Step 2: Convert to fraction form
    119,882.16/165,440.16 = 66,168/x
  3. Step 3: Cross multiply
    119,882.16x = 165,440.16 × 66,168
  4. Step 4: Simplify right side
    119,882.16x = 10,946,844,506.88
  5. Step 5: Solve for x
    x = 10,946,844,506.88/119,882.16
  6. Step 6: Final answer
    x = 91,313.37

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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.