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Finding the Fourth Proportional to 115,410.20, 173,138.70 and 65,514.20

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Solution

The fourth proportional to 115,410.20, 173,138.70 and 65,514.20 is: 98,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,410.20 : 173,138.70 = 65,514.20 : x
  2. Step 2: Convert to fraction form
    115,410.20/173,138.70 = 65,514.20/x
  3. Step 3: Cross multiply
    115,410.20x = 173,138.70 × 65,514.20
  4. Step 4: Simplify right side
    115,410.20x = 11,343,043,419.54
  5. Step 5: Solve for x
    x = 11,343,043,419.54/115,410.20
  6. Step 6: Final answer
    x = 98,284.58

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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.