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Finding the Fourth Proportional to 118,851.92, 164,016.90 and 65,135.75

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Solution

The fourth proportional to 118,851.92, 164,016.90 and 65,135.75 is: 89,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,851.92 : 164,016.90 = 65,135.75 : x
  2. Step 2: Convert to fraction form
    118,851.92/164,016.90 = 65,135.75/x
  3. Step 3: Cross multiply
    118,851.92x = 164,016.90 × 65,135.75
  4. Step 4: Simplify right side
    118,851.92x = 10,683,364,204.22
  5. Step 5: Solve for x
    x = 10,683,364,204.22/118,851.92
  6. Step 6: Final answer
    x = 89,888.03

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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.