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Finding the Fourth Proportional to 118,967.76, 164,205.36 and 80,791.92

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Solution

The fourth proportional to 118,967.76, 164,205.36 and 80,791.92 is: 111,513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,967.76 : 164,205.36 = 80,791.92 : x
  2. Step 2: Convert to fraction form
    118,967.76/164,205.36 = 80,791.92/x
  3. Step 3: Cross multiply
    118,967.76x = 164,205.36 × 80,791.92
  4. Step 4: Simplify right side
    118,967.76x = 13,266,466,308.69
  5. Step 5: Solve for x
    x = 13,266,466,308.69/118,967.76
  6. Step 6: Final answer
    x = 111,513.12

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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.