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Finding the Fourth Proportional to 133,191.09, 183,800.67 and 72,762

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Solution

The fourth proportional to 133,191.09, 183,800.67 and 72,762 is: 100,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,191.09 : 183,800.67 = 72,762 : x
  2. Step 2: Convert to fraction form
    133,191.09/183,800.67 = 72,762/x
  3. Step 3: Cross multiply
    133,191.09x = 183,800.67 × 72,762
  4. Step 4: Simplify right side
    133,191.09x = 13,373,704,350.54
  5. Step 5: Solve for x
    x = 13,373,704,350.54/133,191.09
  6. Step 6: Final answer
    x = 100,409.90

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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.