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Finding the Fourth Proportional to 165,217, 228,018.90 and 98,149

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Solution

The fourth proportional to 165,217, 228,018.90 and 98,149 is: 135,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,217 : 228,018.90 = 98,149 : x
  2. Step 2: Convert to fraction form
    165,217/228,018.90 = 98,149/x
  3. Step 3: Cross multiply
    165,217x = 228,018.90 × 98,149
  4. Step 4: Simplify right side
    165,217x = 22,379,827,016.10
  5. Step 5: Solve for x
    x = 22,379,827,016.10/165,217
  6. Step 6: Final answer
    x = 135,457.17

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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.