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Finding the Fourth Proportional to 78,676.86, 118,015.29 and 23,272.86

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Solution

The fourth proportional to 78,676.86, 118,015.29 and 23,272.86 is: 34,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,676.86 : 118,015.29 = 23,272.86 : x
  2. Step 2: Convert to fraction form
    78,676.86/118,015.29 = 23,272.86/x
  3. Step 3: Cross multiply
    78,676.86x = 118,015.29 × 23,272.86
  4. Step 4: Simplify right side
    78,676.86x = 2,746,553,322.03
  5. Step 5: Solve for x
    x = 2,746,553,322.03/78,676.86
  6. Step 6: Final answer
    x = 34,909.29

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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.