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Finding the Fourth Proportional to 641,385.14, 962,004 and 168,107.82

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Solution

The fourth proportional to 641,385.14, 962,004 and 168,107.82 is: 252,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,385.14 : 962,004 = 168,107.82 : x
  2. Step 2: Convert to fraction form
    641,385.14/962,004 = 168,107.82/x
  3. Step 3: Cross multiply
    641,385.14x = 962,004 × 168,107.82
  4. Step 4: Simplify right side
    641,385.14x = 161,720,395,271.28
  5. Step 5: Solve for x
    x = 161,720,395,271.28/641,385.14
  6. Step 6: Final answer
    x = 252,142.41

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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.