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Finding the Fourth Proportional to 133,366.78, 183,905.67 and 82,978.30

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Solution

The fourth proportional to 133,366.78, 183,905.67 and 82,978.30 is: 114,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,366.78 : 183,905.67 = 82,978.30 : x
  2. Step 2: Convert to fraction form
    133,366.78/183,905.67 = 82,978.30/x
  3. Step 3: Cross multiply
    133,366.78x = 183,905.67 × 82,978.30
  4. Step 4: Simplify right side
    133,366.78x = 15,260,179,856.96
  5. Step 5: Solve for x
    x = 15,260,179,856.96/133,366.78
  6. Step 6: Final answer
    x = 114,422.65

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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.