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Finding the Fourth Proportional to 133,096.90, 199,645.35 and 85,857.70

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Solution

The fourth proportional to 133,096.90, 199,645.35 and 85,857.70 is: 128,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,096.90 : 199,645.35 = 85,857.70 : x
  2. Step 2: Convert to fraction form
    133,096.90/199,645.35 = 85,857.70/x
  3. Step 3: Cross multiply
    133,096.90x = 199,645.35 × 85,857.70
  4. Step 4: Simplify right side
    133,096.90x = 17,141,090,566.70
  5. Step 5: Solve for x
    x = 17,141,090,566.70/133,096.90
  6. Step 6: Final answer
    x = 128,786.55

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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.