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Finding the Fourth Proportional to 149,105.79, 205,770.91 and 85,455.79

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Solution

The fourth proportional to 149,105.79, 205,770.91 and 85,455.79 is: 117,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,105.79 : 205,770.91 = 85,455.79 : x
  2. Step 2: Convert to fraction form
    149,105.79/205,770.91 = 85,455.79/x
  3. Step 3: Cross multiply
    149,105.79x = 205,770.91 × 85,455.79
  4. Step 4: Simplify right side
    149,105.79x = 17,584,315,673.07
  5. Step 5: Solve for x
    x = 17,584,315,673.07/149,105.79
  6. Step 6: Final answer
    x = 117,931.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.