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Finding the Fourth Proportional to 165,202.24, 227,978.40 and 89,751.28

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Solution

The fourth proportional to 165,202.24, 227,978.40 and 89,751.28 is: 123,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,202.24 : 227,978.40 = 89,751.28 : x
  2. Step 2: Convert to fraction form
    165,202.24/227,978.40 = 89,751.28/x
  3. Step 3: Cross multiply
    165,202.24x = 227,978.40 × 89,751.28
  4. Step 4: Simplify right side
    165,202.24x = 20,461,353,212.35
  5. Step 5: Solve for x
    x = 20,461,353,212.35/165,202.24
  6. Step 6: Final answer
    x = 123,856.39

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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.