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Finding the Fourth Proportional to 127,682.60, 191,057.32 and 75,116.84

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Solution

The fourth proportional to 127,682.60, 191,057.32 and 75,116.84 is: 112,400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,682.60 : 191,057.32 = 75,116.84 : x
  2. Step 2: Convert to fraction form
    127,682.60/191,057.32 = 75,116.84/x
  3. Step 3: Cross multiply
    127,682.60x = 191,057.32 × 75,116.84
  4. Step 4: Simplify right side
    127,682.60x = 14,351,622,137.27
  5. Step 5: Solve for x
    x = 14,351,622,137.27/127,682.60
  6. Step 6: Final answer
    x = 112,400.77

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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.