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Finding the Fourth Proportional to 149,137.80, 205,812.63 and 81,157.64

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Solution

The fourth proportional to 149,137.80, 205,812.63 and 81,157.64 is: 111,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,137.80 : 205,812.63 = 81,157.64 : x
  2. Step 2: Convert to fraction form
    149,137.80/205,812.63 = 81,157.64/x
  3. Step 3: Cross multiply
    149,137.80x = 205,812.63 × 81,157.64
  4. Step 4: Simplify right side
    149,137.80x = 16,703,266,303.93
  5. Step 5: Solve for x
    x = 16,703,266,303.93/149,137.80
  6. Step 6: Final answer
    x = 111,998.88

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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.