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Finding the Fourth Proportional to 165,285, 228,093.30 and 98,217

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Solution

The fourth proportional to 165,285, 228,093.30 and 98,217 is: 135,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,285 : 228,093.30 = 98,217 : x
  2. Step 2: Convert to fraction form
    165,285/228,093.30 = 98,217/x
  3. Step 3: Cross multiply
    165,285x = 228,093.30 × 98,217
  4. Step 4: Simplify right side
    165,285x = 22,402,639,646.10
  5. Step 5: Solve for x
    x = 22,402,639,646.10/165,285
  6. Step 6: Final answer
    x = 135,539.46

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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.