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Finding the Fourth Proportional to 165,087.81, 227,822.09 and 89,636.31

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Solution

The fourth proportional to 165,087.81, 227,822.09 and 89,636.31 is: 123,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,087.81 : 227,822.09 = 89,636.31 : x
  2. Step 2: Convert to fraction form
    165,087.81/227,822.09 = 89,636.31/x
  3. Step 3: Cross multiply
    165,087.81x = 227,822.09 × 89,636.31
  4. Step 4: Simplify right side
    165,087.81x = 20,421,131,035.91
  5. Step 5: Solve for x
    x = 20,421,131,035.91/165,087.81
  6. Step 6: Final answer
    x = 123,698.60

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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.