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Finding the Fourth Proportional to 149,113.25, 205,780.61 and 82,045.25

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Solution

The fourth proportional to 149,113.25, 205,780.61 and 82,045.25 is: 113,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,113.25 : 205,780.61 = 82,045.25 : x
  2. Step 2: Convert to fraction form
    149,113.25/205,780.61 = 82,045.25/x
  3. Step 3: Cross multiply
    149,113.25x = 205,780.61 × 82,045.25
  4. Step 4: Simplify right side
    149,113.25x = 16,883,321,182.38
  5. Step 5: Solve for x
    x = 16,883,321,182.38/149,113.25
  6. Step 6: Final answer
    x = 113,224.82

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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.