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Finding the Fourth Proportional to 76,879, 106,093.85 and 42,887.22

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Solution

The fourth proportional to 76,879, 106,093.85 and 42,887.22 is: 59,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,879 : 106,093.85 = 42,887.22 : x
  2. Step 2: Convert to fraction form
    76,879/106,093.85 = 42,887.22/x
  3. Step 3: Cross multiply
    76,879x = 106,093.85 × 42,887.22
  4. Step 4: Simplify right side
    76,879x = 4,550,070,285.60
  5. Step 5: Solve for x
    x = 4,550,070,285.60/76,879
  6. Step 6: Final answer
    x = 59,184.83

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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.