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Finding the Fourth Proportional to 133,188.56, 183,805.82 and 76,600

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Solution

The fourth proportional to 133,188.56, 183,805.82 and 76,600 is: 105,711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,188.56 : 183,805.82 = 76,600 : x
  2. Step 2: Convert to fraction form
    133,188.56/183,805.82 = 76,600/x
  3. Step 3: Cross multiply
    133,188.56x = 183,805.82 × 76,600
  4. Step 4: Simplify right side
    133,188.56x = 14,079,525,812
  5. Step 5: Solve for x
    x = 14,079,525,812/133,188.56
  6. Step 6: Final answer
    x = 105,711.22

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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.