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Finding the Fourth Proportional to 261,168.92, 391,742.43 and 83,672

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Solution

The fourth proportional to 261,168.92, 391,742.43 and 83,672 is: 125,504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,168.92 : 391,742.43 = 83,672 : x
  2. Step 2: Convert to fraction form
    261,168.92/391,742.43 = 83,672/x
  3. Step 3: Cross multiply
    261,168.92x = 391,742.43 × 83,672
  4. Step 4: Simplify right side
    261,168.92x = 32,777,872,602.96
  5. Step 5: Solve for x
    x = 32,777,872,602.96/261,168.92
  6. Step 6: Final answer
    x = 125,504.49

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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.