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Finding the Fourth Proportional to 261,271, 391,926.75 and 81,333.82

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Solution

The fourth proportional to 261,271, 391,926.75 and 81,333.82 is: 122,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,271 : 391,926.75 = 81,333.82 : x
  2. Step 2: Convert to fraction form
    261,271/391,926.75 = 81,333.82/x
  3. Step 3: Cross multiply
    261,271x = 391,926.75 × 81,333.82
  4. Step 4: Simplify right side
    261,271x = 31,876,899,737.69
  5. Step 5: Solve for x
    x = 31,876,899,737.69/261,271
  6. Step 6: Final answer
    x = 122,007.03

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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.