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Finding the Fourth Proportional to 133,832.68, 200,685.46 and 77,690

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Solution

The fourth proportional to 133,832.68, 200,685.46 and 77,690 is: 116,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,832.68 : 200,685.46 = 77,690 : x
  2. Step 2: Convert to fraction form
    133,832.68/200,685.46 = 77,690/x
  3. Step 3: Cross multiply
    133,832.68x = 200,685.46 × 77,690
  4. Step 4: Simplify right side
    133,832.68x = 15,591,253,387.40
  5. Step 5: Solve for x
    x = 15,591,253,387.40/133,832.68
  6. Step 6: Final answer
    x = 116,498.10

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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.