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Finding the Fourth Proportional to 133,212.83, 183,824.88 and 75,858

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Solution

The fourth proportional to 133,212.83, 183,824.88 and 75,858 is: 104,679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,212.83 : 183,824.88 = 75,858 : x
  2. Step 2: Convert to fraction form
    133,212.83/183,824.88 = 75,858/x
  3. Step 3: Cross multiply
    133,212.83x = 183,824.88 × 75,858
  4. Step 4: Simplify right side
    133,212.83x = 13,944,587,747.04
  5. Step 5: Solve for x
    x = 13,944,587,747.04/133,212.83
  6. Step 6: Final answer
    x = 104,679.02

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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.