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Finding the Fourth Proportional to 133,141.36, 183,736.32 and 75,777.87

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Solution

The fourth proportional to 133,141.36, 183,736.32 and 75,777.87 is: 104,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,141.36 : 183,736.32 = 75,777.87 : x
  2. Step 2: Convert to fraction form
    133,141.36/183,736.32 = 75,777.87/x
  3. Step 3: Cross multiply
    133,141.36x = 183,736.32 × 75,777.87
  4. Step 4: Simplify right side
    133,141.36x = 13,923,146,052.56
  5. Step 5: Solve for x
    x = 13,923,146,052.56/133,141.36
  6. Step 6: Final answer
    x = 104,574.16

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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.