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Finding the Fourth Proportional to 144,950.69, 217,446.54 and 45,120.97

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Solution

The fourth proportional to 144,950.69, 217,446.54 and 45,120.97 is: 67,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,950.69 : 217,446.54 = 45,120.97 : x
  2. Step 2: Convert to fraction form
    144,950.69/217,446.54 = 45,120.97/x
  3. Step 3: Cross multiply
    144,950.69x = 217,446.54 × 45,120.97
  4. Step 4: Simplify right side
    144,950.69x = 9,811,399,164.35
  5. Step 5: Solve for x
    x = 9,811,399,164.35/144,950.69
  6. Step 6: Final answer
    x = 67,687.84

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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.