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Finding the Fourth Proportional to 133,069.80, 183,638.43 and 72,640.98

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Solution

The fourth proportional to 133,069.80, 183,638.43 and 72,640.98 is: 100,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,069.80 : 183,638.43 = 72,640.98 : x
  2. Step 2: Convert to fraction form
    133,069.80/183,638.43 = 72,640.98/x
  3. Step 3: Cross multiply
    133,069.80x = 183,638.43 × 72,640.98
  4. Step 4: Simplify right side
    133,069.80x = 13,339,675,520.86
  5. Step 5: Solve for x
    x = 13,339,675,520.86/133,069.80
  6. Step 6: Final answer
    x = 100,245.70

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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.