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Finding the Fourth Proportional to 118,224, 163,149.12 and 80,563.86

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Solution

The fourth proportional to 118,224, 163,149.12 and 80,563.86 is: 111,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,224 : 163,149.12 = 80,563.86 : x
  2. Step 2: Convert to fraction form
    118,224/163,149.12 = 80,563.86/x
  3. Step 3: Cross multiply
    118,224x = 163,149.12 × 80,563.86
  4. Step 4: Simplify right side
    118,224x = 13,143,922,862.80
  5. Step 5: Solve for x
    x = 13,143,922,862.80/118,224
  6. Step 6: Final answer
    x = 111,178.13

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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.