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Finding the Fourth Proportional to 165,201.50, 227,978.08 and 89,750

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Solution

The fourth proportional to 165,201.50, 227,978.08 and 89,750 is: 123,855.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,201.50 : 227,978.08 = 89,750 : x
  2. Step 2: Convert to fraction form
    165,201.50/227,978.08 = 89,750/x
  3. Step 3: Cross multiply
    165,201.50x = 227,978.08 × 89,750
  4. Step 4: Simplify right side
    165,201.50x = 20,461,032,680
  5. Step 5: Solve for x
    x = 20,461,032,680/165,201.50
  6. Step 6: Final answer
    x = 123,855.01

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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.