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Finding the Fourth Proportional to 118,845.25, 164,007.75 and 65,129.12

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Solution

The fourth proportional to 118,845.25, 164,007.75 and 65,129.12 is: 89,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,845.25 : 164,007.75 = 65,129.12 : x
  2. Step 2: Convert to fraction form
    118,845.25/164,007.75 = 65,129.12/x
  3. Step 3: Cross multiply
    118,845.25x = 164,007.75 × 65,129.12
  4. Step 4: Simplify right side
    118,845.25x = 10,681,680,430.68
  5. Step 5: Solve for x
    x = 10,681,680,430.68/118,845.25
  6. Step 6: Final answer
    x = 89,878.90

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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.