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Finding the Fourth Proportional to 92,811.92, 128,014.26 and 85,179.78

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Solution

The fourth proportional to 92,811.92, 128,014.26 and 85,179.78 is: 117,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,811.92 : 128,014.26 = 85,179.78 : x
  2. Step 2: Convert to fraction form
    92,811.92/128,014.26 = 85,179.78/x
  3. Step 3: Cross multiply
    92,811.92x = 128,014.26 × 85,179.78
  4. Step 4: Simplify right side
    92,811.92x = 10,904,226,503.66
  5. Step 5: Solve for x
    x = 10,904,226,503.66/92,811.92
  6. Step 6: Final answer
    x = 117,487.36

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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.