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Finding the Fourth Proportional to 115,115.84, 172,698.46 and 65,219.84

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Solution

The fourth proportional to 115,115.84, 172,698.46 and 65,219.84 is: 97,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,115.84 : 172,698.46 = 65,219.84 : x
  2. Step 2: Convert to fraction form
    115,115.84/172,698.46 = 65,219.84/x
  3. Step 3: Cross multiply
    115,115.84x = 172,698.46 × 65,219.84
  4. Step 4: Simplify right side
    115,115.84x = 11,263,365,929.45
  5. Step 5: Solve for x
    x = 11,263,365,929.45/115,115.84
  6. Step 6: Final answer
    x = 97,843.75

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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.