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Finding the Fourth Proportional to 133,069.64, 183,634.46 and 72,640.68

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Solution

The fourth proportional to 133,069.64, 183,634.46 and 72,640.68 is: 100,243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,069.64 : 183,634.46 = 72,640.68 : x
  2. Step 2: Convert to fraction form
    133,069.64/183,634.46 = 72,640.68/x
  3. Step 3: Cross multiply
    133,069.64x = 183,634.46 × 72,640.68
  4. Step 4: Simplify right side
    133,069.64x = 13,339,332,045.83
  5. Step 5: Solve for x
    x = 13,339,332,045.83/133,069.64
  6. Step 6: Final answer
    x = 100,243.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.