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Finding the Fourth Proportional to 165,937.60, 248,906.40 and 77,364.10

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Solution

The fourth proportional to 165,937.60, 248,906.40 and 77,364.10 is: 116,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,937.60 : 248,906.40 = 77,364.10 : x
  2. Step 2: Convert to fraction form
    165,937.60/248,906.40 = 77,364.10/x
  3. Step 3: Cross multiply
    165,937.60x = 248,906.40 × 77,364.10
  4. Step 4: Simplify right side
    165,937.60x = 19,256,419,620.24
  5. Step 5: Solve for x
    x = 19,256,419,620.24/165,937.60
  6. Step 6: Final answer
    x = 116,046.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.