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Finding the Fourth Proportional to 172,748.70, 259,108.47 and 54,402.84

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Solution

The fourth proportional to 172,748.70, 259,108.47 and 54,402.84 is: 81,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,748.70 : 259,108.47 = 54,402.84 : x
  2. Step 2: Convert to fraction form
    172,748.70/259,108.47 = 54,402.84/x
  3. Step 3: Cross multiply
    172,748.70x = 259,108.47 × 54,402.84
  4. Step 4: Simplify right side
    172,748.70x = 14,096,236,636.05
  5. Step 5: Solve for x
    x = 14,096,236,636.05/172,748.70
  6. Step 6: Final answer
    x = 81,599.67

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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.