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Finding the Fourth Proportional to 154,492.30, 231,738.45 and 49,321.90

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Solution

The fourth proportional to 154,492.30, 231,738.45 and 49,321.90 is: 73,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,492.30 : 231,738.45 = 49,321.90 : x
  2. Step 2: Convert to fraction form
    154,492.30/231,738.45 = 49,321.90/x
  3. Step 3: Cross multiply
    154,492.30x = 231,738.45 × 49,321.90
  4. Step 4: Simplify right side
    154,492.30x = 11,429,780,657.06
  5. Step 5: Solve for x
    x = 11,429,780,657.06/154,492.30
  6. Step 6: Final answer
    x = 73,982.85

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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.