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Finding the Fourth Proportional to 125,657.40, 188,631.90 and 75,793.80

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Solution

The fourth proportional to 125,657.40, 188,631.90 and 75,793.80 is: 113,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,657.40 : 188,631.90 = 75,793.80 : x
  2. Step 2: Convert to fraction form
    125,657.40/188,631.90 = 75,793.80/x
  3. Step 3: Cross multiply
    125,657.40x = 188,631.90 × 75,793.80
  4. Step 4: Simplify right side
    125,657.40x = 14,297,128,502.22
  5. Step 5: Solve for x
    x = 14,297,128,502.22/125,657.40
  6. Step 6: Final answer
    x = 113,778.64

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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.