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Finding the Fourth Proportional to 271,566.80, 407,186.56 and 121,780

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Solution

The fourth proportional to 271,566.80, 407,186.56 and 121,780 is: 182,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,566.80 : 407,186.56 = 121,780 : x
  2. Step 2: Convert to fraction form
    271,566.80/407,186.56 = 121,780/x
  3. Step 3: Cross multiply
    271,566.80x = 407,186.56 × 121,780
  4. Step 4: Simplify right side
    271,566.80x = 49,587,179,276.80
  5. Step 5: Solve for x
    x = 49,587,179,276.80/271,566.80
  6. Step 6: Final answer
    x = 182,596.62

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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.