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Finding the Fourth Proportional to 144,814.96, 217,225.56 and 82,354

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Solution

The fourth proportional to 144,814.96, 217,225.56 and 82,354 is: 123,532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,814.96 : 217,225.56 = 82,354 : x
  2. Step 2: Convert to fraction form
    144,814.96/217,225.56 = 82,354/x
  3. Step 3: Cross multiply
    144,814.96x = 217,225.56 × 82,354
  4. Step 4: Simplify right side
    144,814.96x = 17,889,393,768.24
  5. Step 5: Solve for x
    x = 17,889,393,768.24/144,814.96
  6. Step 6: Final answer
    x = 123,532.77

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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.