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Finding the Fourth Proportional to 165,199.50, 227,975.31 and 89,748

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Solution

The fourth proportional to 165,199.50, 227,975.31 and 89,748 is: 123,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,199.50 : 227,975.31 = 89,748 : x
  2. Step 2: Convert to fraction form
    165,199.50/227,975.31 = 89,748/x
  3. Step 3: Cross multiply
    165,199.50x = 227,975.31 × 89,748
  4. Step 4: Simplify right side
    165,199.50x = 20,460,328,121.88
  5. Step 5: Solve for x
    x = 20,460,328,121.88/165,199.50
  6. Step 6: Final answer
    x = 123,852.24

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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.