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Finding the Fourth Proportional to 133,203.87, 183,821.34 and 76,615.24

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Solution

The fourth proportional to 133,203.87, 183,821.34 and 76,615.24 is: 105,729.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,203.87 : 183,821.34 = 76,615.24 : x
  2. Step 2: Convert to fraction form
    133,203.87/183,821.34 = 76,615.24/x
  3. Step 3: Cross multiply
    133,203.87x = 183,821.34 × 76,615.24
  4. Step 4: Simplify right side
    133,203.87x = 14,083,516,231.94
  5. Step 5: Solve for x
    x = 14,083,516,231.94/133,203.87
  6. Step 6: Final answer
    x = 105,729.03

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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.