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Finding the Fourth Proportional to 78,676.92, 118,156.32 and 75,505.77

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Solution

The fourth proportional to 78,676.92, 118,156.32 and 75,505.77 is: 113,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,676.92 : 118,156.32 = 75,505.77 : x
  2. Step 2: Convert to fraction form
    78,676.92/118,156.32 = 75,505.77/x
  3. Step 3: Cross multiply
    78,676.92x = 118,156.32 × 75,505.77
  4. Step 4: Simplify right side
    78,676.92x = 8,921,483,921.97
  5. Step 5: Solve for x
    x = 8,921,483,921.97/78,676.92
  6. Step 6: Final answer
    x = 113,393.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.