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Finding the Fourth Proportional to 125,863, 188,794.50 and 38,311

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Solution

The fourth proportional to 125,863, 188,794.50 and 38,311 is: 57,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,863 : 188,794.50 = 38,311 : x
  2. Step 2: Convert to fraction form
    125,863/188,794.50 = 38,311/x
  3. Step 3: Cross multiply
    125,863x = 188,794.50 × 38,311
  4. Step 4: Simplify right side
    125,863x = 7,232,906,089.50
  5. Step 5: Solve for x
    x = 7,232,906,089.50/125,863
  6. Step 6: Final answer
    x = 57,466.50

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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.