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Finding the Fourth Proportional to 129,399.67, 178,579.67 and 78,416.85

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Solution

The fourth proportional to 129,399.67, 178,579.67 and 78,416.85 is: 108,220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,399.67 : 178,579.67 = 78,416.85 : x
  2. Step 2: Convert to fraction form
    129,399.67/178,579.67 = 78,416.85/x
  3. Step 3: Cross multiply
    129,399.67x = 178,579.67 × 78,416.85
  4. Step 4: Simplify right side
    129,399.67x = 14,003,655,195.44
  5. Step 5: Solve for x
    x = 14,003,655,195.44/129,399.67
  6. Step 6: Final answer
    x = 108,220.18

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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.