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Finding the Fourth Proportional to 125,930, 173,767.80 and 85,183.04

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Solution

The fourth proportional to 125,930, 173,767.80 and 85,183.04 is: 117,542.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,930 : 173,767.80 = 85,183.04 : x
  2. Step 2: Convert to fraction form
    125,930/173,767.80 = 85,183.04/x
  3. Step 3: Cross multiply
    125,930x = 173,767.80 × 85,183.04
  4. Step 4: Simplify right side
    125,930x = 14,802,069,458.11
  5. Step 5: Solve for x
    x = 14,802,069,458.11/125,930
  6. Step 6: Final answer
    x = 117,542.04

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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.