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Finding the Fourth Proportional to 127,859.45, 191,853.96 and 85,194.04

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Solution

The fourth proportional to 127,859.45, 191,853.96 and 85,194.04 is: 127,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,859.45 : 191,853.96 = 85,194.04 : x
  2. Step 2: Convert to fraction form
    127,859.45/191,853.96 = 85,194.04/x
  3. Step 3: Cross multiply
    127,859.45x = 191,853.96 × 85,194.04
  4. Step 4: Simplify right side
    127,859.45x = 16,344,813,942.40
  5. Step 5: Solve for x
    x = 16,344,813,942.40/127,859.45
  6. Step 6: Final answer
    x = 127,834.23

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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.