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Finding the Fourth Proportional to 118,912.10, 164,097.23 and 65,197.16

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Solution

The fourth proportional to 118,912.10, 164,097.23 and 65,197.16 is: 89,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,912.10 : 164,097.23 = 65,197.16 : x
  2. Step 2: Convert to fraction form
    118,912.10/164,097.23 = 65,197.16/x
  3. Step 3: Cross multiply
    118,912.10x = 164,097.23 × 65,197.16
  4. Step 4: Simplify right side
    118,912.10x = 10,698,672,213.39
  5. Step 5: Solve for x
    x = 10,698,672,213.39/118,912.10
  6. Step 6: Final answer
    x = 89,971.27

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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.