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Finding the Fourth Proportional to 133,208.78, 183,825.72 and 72,777.92

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Solution

The fourth proportional to 133,208.78, 183,825.72 and 72,777.92 is: 100,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,208.78 : 183,825.72 = 72,777.92 : x
  2. Step 2: Convert to fraction form
    133,208.78/183,825.72 = 72,777.92/x
  3. Step 3: Cross multiply
    133,208.78x = 183,825.72 × 72,777.92
  4. Step 4: Simplify right side
    133,208.78x = 13,378,452,624.97
  5. Step 5: Solve for x
    x = 13,378,452,624.97/133,208.78
  6. Step 6: Final answer
    x = 100,432.22

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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.