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Finding the Fourth Proportional to 172,988.10, 259,676.55 and 133,719.30

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Solution

The fourth proportional to 172,988.10, 259,676.55 and 133,719.30 is: 200,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,988.10 : 259,676.55 = 133,719.30 : x
  2. Step 2: Convert to fraction form
    172,988.10/259,676.55 = 133,719.30/x
  3. Step 3: Cross multiply
    172,988.10x = 259,676.55 × 133,719.30
  4. Step 4: Simplify right side
    172,988.10x = 34,723,766,492.42
  5. Step 5: Solve for x
    x = 34,723,766,492.42/172,988.10
  6. Step 6: Final answer
    x = 200,729.22

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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.