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Finding the Fourth Proportional to 133,123.80, 199,771.56 and 85,733.94

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Solution

The fourth proportional to 133,123.80, 199,771.56 and 85,733.94 is: 128,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,123.80 : 199,771.56 = 85,733.94 : x
  2. Step 2: Convert to fraction form
    133,123.80/199,771.56 = 85,733.94/x
  3. Step 3: Cross multiply
    133,123.80x = 199,771.56 × 85,733.94
  4. Step 4: Simplify right side
    133,123.80x = 17,127,202,938.75
  5. Step 5: Solve for x
    x = 17,127,202,938.75/133,123.80
  6. Step 6: Final answer
    x = 128,656.21

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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.