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Finding the Fourth Proportional to 99,680, 149,520 and 37,379.84

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Solution

The fourth proportional to 99,680, 149,520 and 37,379.84 is: 56,069.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,680 : 149,520 = 37,379.84 : x
  2. Step 2: Convert to fraction form
    99,680/149,520 = 37,379.84/x
  3. Step 3: Cross multiply
    99,680x = 149,520 × 37,379.84
  4. Step 4: Simplify right side
    99,680x = 5,589,033,676.80
  5. Step 5: Solve for x
    x = 5,589,033,676.80/99,680
  6. Step 6: Final answer
    x = 56,069.76

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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.