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Finding the Fourth Proportional to 149,281.28, 205,998.68 and 82,213.28

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Solution

The fourth proportional to 149,281.28, 205,998.68 and 82,213.28 is: 113,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,281.28 : 205,998.68 = 82,213.28 : x
  2. Step 2: Convert to fraction form
    149,281.28/205,998.68 = 82,213.28/x
  3. Step 3: Cross multiply
    149,281.28x = 205,998.68 × 82,213.28
  4. Step 4: Simplify right side
    149,281.28x = 16,935,827,158.47
  5. Step 5: Solve for x
    x = 16,935,827,158.47/149,281.28
  6. Step 6: Final answer
    x = 113,449.10

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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.