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Finding the Fourth Proportional to 115,112.21, 172,693.02 and 65,216.21

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Solution

The fourth proportional to 115,112.21, 172,693.02 and 65,216.21 is: 97,838.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,112.21 : 172,693.02 = 65,216.21 : x
  2. Step 2: Convert to fraction form
    115,112.21/172,693.02 = 65,216.21/x
  3. Step 3: Cross multiply
    115,112.21x = 172,693.02 × 65,216.21
  4. Step 4: Simplify right side
    115,112.21x = 11,262,383,394.39
  5. Step 5: Solve for x
    x = 11,262,383,394.39/115,112.21
  6. Step 6: Final answer
    x = 97,838.31

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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.