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Finding the Fourth Proportional to 133,212.94, 183,915.87 and 85,550.31

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Solution

The fourth proportional to 133,212.94, 183,915.87 and 85,550.31 is: 118,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,212.94 : 183,915.87 = 85,550.31 : x
  2. Step 2: Convert to fraction form
    133,212.94/183,915.87 = 85,550.31/x
  3. Step 3: Cross multiply
    133,212.94x = 183,915.87 × 85,550.31
  4. Step 4: Simplify right side
    133,212.94x = 15,734,059,371.61
  5. Step 5: Solve for x
    x = 15,734,059,371.61/133,212.94
  6. Step 6: Final answer
    x = 118,112.10

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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.