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Finding the Fourth Proportional to 165,146.38, 227,901.80 and 89,694.34

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Solution

The fourth proportional to 165,146.38, 227,901.80 and 89,694.34 is: 123,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,146.38 : 227,901.80 = 89,694.34 : x
  2. Step 2: Convert to fraction form
    165,146.38/227,901.80 = 89,694.34/x
  3. Step 3: Cross multiply
    165,146.38x = 227,901.80 × 89,694.34
  4. Step 4: Simplify right side
    165,146.38x = 20,441,501,535.81
  5. Step 5: Solve for x
    x = 20,441,501,535.81/165,146.38
  6. Step 6: Final answer
    x = 123,778.08

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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.