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Finding the Fourth Proportional to 149,155.14, 205,834.02 and 82,087.14

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Solution

The fourth proportional to 149,155.14, 205,834.02 and 82,087.14 is: 113,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,155.14 : 205,834.02 = 82,087.14 : x
  2. Step 2: Convert to fraction form
    149,155.14/205,834.02 = 82,087.14/x
  3. Step 3: Cross multiply
    149,155.14x = 205,834.02 × 82,087.14
  4. Step 4: Simplify right side
    149,155.14x = 16,896,326,016.50
  5. Step 5: Solve for x
    x = 16,896,326,016.50/149,155.14
  6. Step 6: Final answer
    x = 113,280.21

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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.