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Finding the Fourth Proportional to 133,634.21, 200,411.42 and 72,835.00

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Solution

The fourth proportional to 133,634.21, 200,411.42 and 72,835.00 is: 109,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,634.21 : 200,411.42 = 72,835.00 : x
  2. Step 2: Convert to fraction form
    133,634.21/200,411.42 = 72,835.00/x
  3. Step 3: Cross multiply
    133,634.21x = 200,411.42 × 72,835.00
  4. Step 4: Simplify right side
    133,634.21x = 14,596,964,910.50
  5. Step 5: Solve for x
    x = 14,596,964,910.50/133,634.21
  6. Step 6: Final answer
    x = 109,230.75

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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.