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Finding the Fourth Proportional to 165,887.80, 228,921.42 and 102,223.48

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Solution

The fourth proportional to 165,887.80, 228,921.42 and 102,223.48 is: 141,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,887.80 : 228,921.42 = 102,223.48 : x
  2. Step 2: Convert to fraction form
    165,887.80/228,921.42 = 102,223.48/x
  3. Step 3: Cross multiply
    165,887.80x = 228,921.42 × 102,223.48
  4. Step 4: Simplify right side
    165,887.80x = 23,401,144,198.94
  5. Step 5: Solve for x
    x = 23,401,144,198.94/165,887.80
  6. Step 6: Final answer
    x = 141,066.10

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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.