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Finding the Fourth Proportional to 102,757.10, 154,366.05 and 99,992.30

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Solution

The fourth proportional to 102,757.10, 154,366.05 and 99,992.30 is: 150,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,757.10 : 154,366.05 = 99,992.30 : x
  2. Step 2: Convert to fraction form
    102,757.10/154,366.05 = 99,992.30/x
  3. Step 3: Cross multiply
    102,757.10x = 154,366.05 × 99,992.30
  4. Step 4: Simplify right side
    102,757.10x = 15,435,416,381.42
  5. Step 5: Solve for x
    x = 15,435,416,381.42/102,757.10
  6. Step 6: Final answer
    x = 150,212.65

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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.