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Finding the Fourth Proportional to 149,135.91, 205,816.42 and 85,477.80

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Solution

The fourth proportional to 149,135.91, 205,816.42 and 85,477.80 is: 117,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,135.91 : 205,816.42 = 85,477.80 : x
  2. Step 2: Convert to fraction form
    149,135.91/205,816.42 = 85,477.80/x
  3. Step 3: Cross multiply
    149,135.91x = 205,816.42 × 85,477.80
  4. Step 4: Simplify right side
    149,135.91x = 17,592,734,785.48
  5. Step 5: Solve for x
    x = 17,592,734,785.48/149,135.91
  6. Step 6: Final answer
    x = 117,964.44

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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.