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Finding the Fourth Proportional to 165,211.63, 227,992.65 and 89,760.13

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Solution

The fourth proportional to 165,211.63, 227,992.65 and 89,760.13 is: 123,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,211.63 : 227,992.65 = 89,760.13 : x
  2. Step 2: Convert to fraction form
    165,211.63/227,992.65 = 89,760.13/x
  3. Step 3: Cross multiply
    165,211.63x = 227,992.65 × 89,760.13
  4. Step 4: Simplify right side
    165,211.63x = 20,464,649,903.04
  5. Step 5: Solve for x
    x = 20,464,649,903.04/165,211.63
  6. Step 6: Final answer
    x = 123,869.31

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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.