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Finding the Fourth Proportional to 99,900, 149,896.51 and 43,732.71

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Solution

The fourth proportional to 99,900, 149,896.51 and 43,732.71 is: 65,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,900 : 149,896.51 = 43,732.71 : x
  2. Step 2: Convert to fraction form
    99,900/149,896.51 = 43,732.71/x
  3. Step 3: Cross multiply
    99,900x = 149,896.51 × 43,732.71
  4. Step 4: Simplify right side
    99,900x = 6,555,380,492.51
  5. Step 5: Solve for x
    x = 6,555,380,492.51/99,900
  6. Step 6: Final answer
    x = 65,619.42

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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.