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Finding the Fourth Proportional to 165,179.70, 227,939.49 and 89,728.02

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Solution

The fourth proportional to 165,179.70, 227,939.49 and 89,728.02 is: 123,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,179.70 : 227,939.49 = 89,728.02 : x
  2. Step 2: Convert to fraction form
    165,179.70/227,939.49 = 89,728.02/x
  3. Step 3: Cross multiply
    165,179.70x = 227,939.49 × 89,728.02
  4. Step 4: Simplify right side
    165,179.70x = 20,452,559,117.51
  5. Step 5: Solve for x
    x = 20,452,559,117.51/165,179.70
  6. Step 6: Final answer
    x = 123,820.05

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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.