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Finding the Fourth Proportional to 165,709, 228,679.32 and 90,257.68

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Solution

The fourth proportional to 165,709, 228,679.32 and 90,257.68 is: 124,556.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,709 : 228,679.32 = 90,257.68 : x
  2. Step 2: Convert to fraction form
    165,709/228,679.32 = 90,257.68/x
  3. Step 3: Cross multiply
    165,709x = 228,679.32 × 90,257.68
  4. Step 4: Simplify right side
    165,709x = 20,640,064,887.18
  5. Step 5: Solve for x
    x = 20,640,064,887.18/165,709
  6. Step 6: Final answer
    x = 124,556.09

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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.