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Finding the Fourth Proportional to 261,064.63, 391,405.41 and 83,469.43

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Solution

The fourth proportional to 261,064.63, 391,405.41 and 83,469.43 is: 125,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,064.63 : 391,405.41 = 83,469.43 : x
  2. Step 2: Convert to fraction form
    261,064.63/391,405.41 = 83,469.43/x
  3. Step 3: Cross multiply
    261,064.63x = 391,405.41 × 83,469.43
  4. Step 4: Simplify right side
    261,064.63x = 32,670,386,471.62
  5. Step 5: Solve for x
    x = 32,670,386,471.62/261,064.63
  6. Step 6: Final answer
    x = 125,142.91

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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.