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Finding the Fourth Proportional to 133,043.82, 199,621.06 and 79,838.26

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Solution

The fourth proportional to 133,043.82, 199,621.06 and 79,838.26 is: 119,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,043.82 : 199,621.06 = 79,838.26 : x
  2. Step 2: Convert to fraction form
    133,043.82/199,621.06 = 79,838.26/x
  3. Step 3: Cross multiply
    133,043.82x = 199,621.06 × 79,838.26
  4. Step 4: Simplify right side
    133,043.82x = 15,937,397,391.11
  5. Step 5: Solve for x
    x = 15,937,397,391.11/133,043.82
  6. Step 6: Final answer
    x = 119,790.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.