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Finding the Fourth Proportional to 260,940.68, 391,411.30 and 71,387

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Solution

The fourth proportional to 260,940.68, 391,411.30 and 71,387 is: 107,080.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,940.68 : 391,411.30 = 71,387 : x
  2. Step 2: Convert to fraction form
    260,940.68/391,411.30 = 71,387/x
  3. Step 3: Cross multiply
    260,940.68x = 391,411.30 × 71,387
  4. Step 4: Simplify right side
    260,940.68x = 27,941,678,473.10
  5. Step 5: Solve for x
    x = 27,941,678,473.10/260,940.68
  6. Step 6: Final answer
    x = 107,080.58

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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.