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Finding the Fourth Proportional to 165,969.96, 229,035.78 and 90,513.96

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Solution

The fourth proportional to 165,969.96, 229,035.78 and 90,513.96 is: 124,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,969.96 : 229,035.78 = 90,513.96 : x
  2. Step 2: Convert to fraction form
    165,969.96/229,035.78 = 90,513.96/x
  3. Step 3: Cross multiply
    165,969.96x = 229,035.78 × 90,513.96
  4. Step 4: Simplify right side
    165,969.96x = 20,730,935,429.49
  5. Step 5: Solve for x
    x = 20,730,935,429.49/165,969.96
  6. Step 6: Final answer
    x = 124,907.76

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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.