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Finding the Fourth Proportional to 118,949.84, 164,153.01 and 65,231.64

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Solution

The fourth proportional to 118,949.84, 164,153.01 and 65,231.64 is: 90,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,949.84 : 164,153.01 = 65,231.64 : x
  2. Step 2: Convert to fraction form
    118,949.84/164,153.01 = 65,231.64/x
  3. Step 3: Cross multiply
    118,949.84x = 164,153.01 × 65,231.64
  4. Step 4: Simplify right side
    118,949.84x = 10,707,970,053.24
  5. Step 5: Solve for x
    x = 10,707,970,053.24/118,949.84
  6. Step 6: Final answer
    x = 90,020.89

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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.