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Finding the Fourth Proportional to 133,145.36, 183,741.84 and 75,781.87

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Solution

The fourth proportional to 133,145.36, 183,741.84 and 75,781.87 is: 104,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,145.36 : 183,741.84 = 75,781.87 : x
  2. Step 2: Convert to fraction form
    133,145.36/183,741.84 = 75,781.87/x
  3. Step 3: Cross multiply
    133,145.36x = 183,741.84 × 75,781.87
  4. Step 4: Simplify right side
    133,145.36x = 13,924,300,232.44
  5. Step 5: Solve for x
    x = 13,924,300,232.44/133,145.36
  6. Step 6: Final answer
    x = 104,579.69

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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.