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Finding the Fourth Proportional to 125,952, 188,958.72 and 38,400

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Solution

The fourth proportional to 125,952, 188,958.72 and 38,400 is: 57,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,952 : 188,958.72 = 38,400 : x
  2. Step 2: Convert to fraction form
    125,952/188,958.72 = 38,400/x
  3. Step 3: Cross multiply
    125,952x = 188,958.72 × 38,400
  4. Step 4: Simplify right side
    125,952x = 7,256,014,848
  5. Step 5: Solve for x
    x = 7,256,014,848/125,952
  6. Step 6: Final answer
    x = 57,609.37

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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.