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Finding the Fourth Proportional to 133,141.76, 183,736.88 and 75,778.27

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Solution

The fourth proportional to 133,141.76, 183,736.88 and 75,778.27 is: 104,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,141.76 : 183,736.88 = 75,778.27 : x
  2. Step 2: Convert to fraction form
    133,141.76/183,736.88 = 75,778.27/x
  3. Step 3: Cross multiply
    133,141.76x = 183,736.88 × 75,778.27
  4. Step 4: Simplify right side
    133,141.76x = 13,923,263,036.55
  5. Step 5: Solve for x
    x = 13,923,263,036.55/133,141.76
  6. Step 6: Final answer
    x = 104,574.72

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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.