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Finding the Fourth Proportional to 149,676.16, 206,551.20 and 82,603.84

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Solution

The fourth proportional to 149,676.16, 206,551.20 and 82,603.84 is: 113,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,676.16 : 206,551.20 = 82,603.84 : x
  2. Step 2: Convert to fraction form
    149,676.16/206,551.20 = 82,603.84/x
  3. Step 3: Cross multiply
    149,676.16x = 206,551.20 × 82,603.84
  4. Step 4: Simplify right side
    149,676.16x = 17,061,922,276.61
  5. Step 5: Solve for x
    x = 17,061,922,276.61/149,676.16
  6. Step 6: Final answer
    x = 113,992.25

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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.