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Finding the Fourth Proportional to 125,843.40, 188,766.06 and 45,938.64

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Solution

The fourth proportional to 125,843.40, 188,766.06 and 45,938.64 is: 68,908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,843.40 : 188,766.06 = 45,938.64 : x
  2. Step 2: Convert to fraction form
    125,843.40/188,766.06 = 45,938.64/x
  3. Step 3: Cross multiply
    125,843.40x = 188,766.06 × 45,938.64
  4. Step 4: Simplify right side
    125,843.40x = 8,671,656,074.56
  5. Step 5: Solve for x
    x = 8,671,656,074.56/125,843.40
  6. Step 6: Final answer
    x = 68,908.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.