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Finding the Fourth Proportional to 98,234.40, 147,132.90 and 80,738.40

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Solution

The fourth proportional to 98,234.40, 147,132.90 and 80,738.40 is: 120,927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,234.40 : 147,132.90 = 80,738.40 : x
  2. Step 2: Convert to fraction form
    98,234.40/147,132.90 = 80,738.40/x
  3. Step 3: Cross multiply
    98,234.40x = 147,132.90 × 80,738.40
  4. Step 4: Simplify right side
    98,234.40x = 11,879,274,933.36
  5. Step 5: Solve for x
    x = 11,879,274,933.36/98,234.40
  6. Step 6: Final answer
    x = 120,927.85

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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.