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Finding the Fourth Proportional to 118,961.72, 164,167.14 and 65,245.64

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Solution

The fourth proportional to 118,961.72, 164,167.14 and 65,245.64 is: 90,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,961.72 : 164,167.14 = 65,245.64 : x
  2. Step 2: Convert to fraction form
    118,961.72/164,167.14 = 65,245.64/x
  3. Step 3: Cross multiply
    118,961.72x = 164,167.14 × 65,245.64
  4. Step 4: Simplify right side
    118,961.72x = 10,711,190,116.27
  5. Step 5: Solve for x
    x = 10,711,190,116.27/118,961.72
  6. Step 6: Final answer
    x = 90,038.96

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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.