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Finding the Fourth Proportional to 118,893.96, 164,078.82 and 71,138.16

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Solution

The fourth proportional to 118,893.96, 164,078.82 and 71,138.16 is: 98,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,893.96 : 164,078.82 = 71,138.16 : x
  2. Step 2: Convert to fraction form
    118,893.96/164,078.82 = 71,138.16/x
  3. Step 3: Cross multiply
    118,893.96x = 164,078.82 × 71,138.16
  4. Step 4: Simplify right side
    118,893.96x = 11,672,265,349.77
  5. Step 5: Solve for x
    x = 11,672,265,349.77/118,893.96
  6. Step 6: Final answer
    x = 98,173.75

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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.