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Finding the Fourth Proportional to 118,964.12, 164,170.71 and 65,249.57

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Solution

The fourth proportional to 118,964.12, 164,170.71 and 65,249.57 is: 90,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,964.12 : 164,170.71 = 65,249.57 : x
  2. Step 2: Convert to fraction form
    118,964.12/164,170.71 = 65,249.57/x
  3. Step 3: Cross multiply
    118,964.12x = 164,170.71 × 65,249.57
  4. Step 4: Simplify right side
    118,964.12x = 10,712,068,644.52
  5. Step 5: Solve for x
    x = 10,712,068,644.52/118,964.12
  6. Step 6: Final answer
    x = 90,044.54

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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.