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Finding the Fourth Proportional to 143,622.82, 215,448.51 and 54,950.91

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Solution

The fourth proportional to 143,622.82, 215,448.51 and 54,950.91 is: 82,431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,622.82 : 215,448.51 = 54,950.91 : x
  2. Step 2: Convert to fraction form
    143,622.82/215,448.51 = 54,950.91/x
  3. Step 3: Cross multiply
    143,622.82x = 215,448.51 × 54,950.91
  4. Step 4: Simplify right side
    143,622.82x = 11,839,090,771.68
  5. Step 5: Solve for x
    x = 11,839,090,771.68/143,622.82
  6. Step 6: Final answer
    x = 82,431.82

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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.