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Finding the Fourth Proportional to 114,634.40, 171,951.60 and 85,109.90

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Solution

The fourth proportional to 114,634.40, 171,951.60 and 85,109.90 is: 127,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,634.40 : 171,951.60 = 85,109.90 : x
  2. Step 2: Convert to fraction form
    114,634.40/171,951.60 = 85,109.90/x
  3. Step 3: Cross multiply
    114,634.40x = 171,951.60 × 85,109.90
  4. Step 4: Simplify right side
    114,634.40x = 14,634,783,480.84
  5. Step 5: Solve for x
    x = 14,634,783,480.84/114,634.40
  6. Step 6: Final answer
    x = 127,664.85

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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.