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Finding the Fourth Proportional to 149,249.28, 205,968.72 and 81,270.72

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Solution

The fourth proportional to 149,249.28, 205,968.72 and 81,270.72 is: 112,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,249.28 : 205,968.72 = 81,270.72 : x
  2. Step 2: Convert to fraction form
    149,249.28/205,968.72 = 81,270.72/x
  3. Step 3: Cross multiply
    149,249.28x = 205,968.72 × 81,270.72
  4. Step 4: Simplify right side
    149,249.28x = 16,739,226,171.88
  5. Step 5: Solve for x
    x = 16,739,226,171.88/149,249.28
  6. Step 6: Final answer
    x = 112,156.16

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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.