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Finding the Fourth Proportional to 119,449.12, 164,843.28 and 65,735.68

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Solution

The fourth proportional to 119,449.12, 164,843.28 and 65,735.68 is: 90,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,449.12 : 164,843.28 = 65,735.68 : x
  2. Step 2: Convert to fraction form
    119,449.12/164,843.28 = 65,735.68/x
  3. Step 3: Cross multiply
    119,449.12x = 164,843.28 × 65,735.68
  4. Step 4: Simplify right side
    119,449.12x = 10,836,085,104.23
  5. Step 5: Solve for x
    x = 10,836,085,104.23/119,449.12
  6. Step 6: Final answer
    x = 90,717.16

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1.5x scale

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.