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Finding the Fourth Proportional to 125,823.38, 173,546.55 and 77,361.82

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Solution

The fourth proportional to 125,823.38, 173,546.55 and 77,361.82 is: 106,704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,823.38 : 173,546.55 = 77,361.82 : x
  2. Step 2: Convert to fraction form
    125,823.38/173,546.55 = 77,361.82/x
  3. Step 3: Cross multiply
    125,823.38x = 173,546.55 × 77,361.82
  4. Step 4: Simplify right side
    125,823.38x = 13,425,876,528.85
  5. Step 5: Solve for x
    x = 13,425,876,528.85/125,823.38
  6. Step 6: Final answer
    x = 106,704.15

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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.