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Finding the Fourth Proportional to 133,197, 183,811.86 and 73,581

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Solution

The fourth proportional to 133,197, 183,811.86 and 73,581 is: 101,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,197 : 183,811.86 = 73,581 : x
  2. Step 2: Convert to fraction form
    133,197/183,811.86 = 73,581/x
  3. Step 3: Cross multiply
    133,197x = 183,811.86 × 73,581
  4. Step 4: Simplify right side
    133,197x = 13,525,060,470.66
  5. Step 5: Solve for x
    x = 13,525,060,470.66/133,197
  6. Step 6: Final answer
    x = 101,541.78

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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.