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Finding the Fourth Proportional to 99,786.30, 149,701.05 and 29,672.70

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Solution

The fourth proportional to 99,786.30, 149,701.05 and 29,672.70 is: 44,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,786.30 : 149,701.05 = 29,672.70 : x
  2. Step 2: Convert to fraction form
    99,786.30/149,701.05 = 29,672.70/x
  3. Step 3: Cross multiply
    99,786.30x = 149,701.05 × 29,672.70
  4. Step 4: Simplify right side
    99,786.30x = 4,442,034,346.34
  5. Step 5: Solve for x
    x = 4,442,034,346.34/99,786.30
  6. Step 6: Final answer
    x = 44,515.47

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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.