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Finding the Fourth Proportional to 118,969.83, 164,175.54 and 65,254.38

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Solution

The fourth proportional to 118,969.83, 164,175.54 and 65,254.38 is: 90,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,969.83 : 164,175.54 = 65,254.38 : x
  2. Step 2: Convert to fraction form
    118,969.83/164,175.54 = 65,254.38/x
  3. Step 3: Cross multiply
    118,969.83x = 164,175.54 × 65,254.38
  4. Step 4: Simplify right side
    118,969.83x = 10,713,172,213.50
  5. Step 5: Solve for x
    x = 10,713,172,213.50/118,969.83
  6. Step 6: Final answer
    x = 90,049.49

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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.