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Finding the Fourth Proportional to 118,899.38, 164,091.48 and 65,194.86

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Solution

The fourth proportional to 118,899.38, 164,091.48 and 65,194.86 is: 89,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,899.38 : 164,091.48 = 65,194.86 : x
  2. Step 2: Convert to fraction form
    118,899.38/164,091.48 = 65,194.86/x
  3. Step 3: Cross multiply
    118,899.38x = 164,091.48 × 65,194.86
  4. Step 4: Simplify right side
    118,899.38x = 10,697,921,065.79
  5. Step 5: Solve for x
    x = 10,697,921,065.79/118,899.38
  6. Step 6: Final answer
    x = 89,974.57

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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.