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Finding the Fourth Proportional to 149,217.67, 205,913.67 and 81,232.90

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Solution

The fourth proportional to 149,217.67, 205,913.67 and 81,232.90 is: 112,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,217.67 : 205,913.67 = 81,232.90 : x
  2. Step 2: Convert to fraction form
    149,217.67/205,913.67 = 81,232.90/x
  3. Step 3: Cross multiply
    149,217.67x = 205,913.67 × 81,232.90
  4. Step 4: Simplify right side
    149,217.67x = 16,726,964,563.74
  5. Step 5: Solve for x
    x = 16,726,964,563.74/149,217.67
  6. Step 6: Final answer
    x = 112,097.75

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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.