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Finding the Fourth Proportional to 261,133.21, 391,874.78 and 167,704.57

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Solution

The fourth proportional to 261,133.21, 391,874.78 and 167,704.57 is: 251,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,133.21 : 391,874.78 = 167,704.57 : x
  2. Step 2: Convert to fraction form
    261,133.21/391,874.78 = 167,704.57/x
  3. Step 3: Cross multiply
    261,133.21x = 391,874.78 × 167,704.57
  4. Step 4: Simplify right side
    261,133.21x = 65,719,191,473.74
  5. Step 5: Solve for x
    x = 65,719,191,473.74/261,133.21
  6. Step 6: Final answer
    x = 251,669.22

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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.