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Finding the Fourth Proportional to 118,911.96, 164,103.66 and 71,156.16

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Solution

The fourth proportional to 118,911.96, 164,103.66 and 71,156.16 is: 98,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,911.96 : 164,103.66 = 71,156.16 : x
  2. Step 2: Convert to fraction form
    118,911.96/164,103.66 = 71,156.16/x
  3. Step 3: Cross multiply
    118,911.96x = 164,103.66 × 71,156.16
  4. Step 4: Simplify right side
    118,911.96x = 11,676,986,287.55
  5. Step 5: Solve for x
    x = 11,676,986,287.55/118,911.96
  6. Step 6: Final answer
    x = 98,198.59

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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.