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Finding the Fourth Proportional to 149,136.80, 205,808.85 and 85,474.64

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Solution

The fourth proportional to 149,136.80, 205,808.85 and 85,474.64 is: 117,955.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,136.80 : 205,808.85 = 85,474.64 : x
  2. Step 2: Convert to fraction form
    149,136.80/205,808.85 = 85,474.64/x
  3. Step 3: Cross multiply
    149,136.80x = 205,808.85 × 85,474.64
  4. Step 4: Simplify right side
    149,136.80x = 17,591,437,877.09
  5. Step 5: Solve for x
    x = 17,591,437,877.09/149,136.80
  6. Step 6: Final answer
    x = 117,955.05

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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.