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Finding the Fourth Proportional to 133,212.81, 183,837.22 and 72,782.96

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Solution

The fourth proportional to 133,212.81, 183,837.22 and 72,782.96 is: 100,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,212.81 : 183,837.22 = 72,782.96 : x
  2. Step 2: Convert to fraction form
    133,212.81/183,837.22 = 72,782.96/x
  3. Step 3: Cross multiply
    133,212.81x = 183,837.22 × 72,782.96
  4. Step 4: Simplify right side
    133,212.81x = 13,380,217,307.41
  5. Step 5: Solve for x
    x = 13,380,217,307.41/133,212.81
  6. Step 6: Final answer
    x = 100,442.42

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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.