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Finding the Fourth Proportional to 165,514, 228,410.40 and 90,063.04

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Solution

The fourth proportional to 165,514, 228,410.40 and 90,063.04 is: 124,287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,514 : 228,410.40 = 90,063.04 : x
  2. Step 2: Convert to fraction form
    165,514/228,410.40 = 90,063.04/x
  3. Step 3: Cross multiply
    165,514x = 228,410.40 × 90,063.04
  4. Step 4: Simplify right side
    165,514x = 20,571,334,991.62
  5. Step 5: Solve for x
    x = 20,571,334,991.62/165,514
  6. Step 6: Final answer
    x = 124,287.58

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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.