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Finding the Fourth Proportional to 129,169.22, 178,256.50 and 72,581.54

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Solution

The fourth proportional to 129,169.22, 178,256.50 and 72,581.54 is: 100,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,169.22 : 178,256.50 = 72,581.54 : x
  2. Step 2: Convert to fraction form
    129,169.22/178,256.50 = 72,581.54/x
  3. Step 3: Cross multiply
    129,169.22x = 178,256.50 × 72,581.54
  4. Step 4: Simplify right side
    129,169.22x = 12,938,130,212.27
  5. Step 5: Solve for x
    x = 12,938,130,212.27/129,169.22
  6. Step 6: Final answer
    x = 100,164.19

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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.