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Finding the Fourth Proportional to 125,311.32, 188,040.42 and 50,419.80

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Solution

The fourth proportional to 125,311.32, 188,040.42 and 50,419.80 is: 75,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,311.32 : 188,040.42 = 50,419.80 : x
  2. Step 2: Convert to fraction form
    125,311.32/188,040.42 = 50,419.80/x
  3. Step 3: Cross multiply
    125,311.32x = 188,040.42 × 50,419.80
  4. Step 4: Simplify right side
    125,311.32x = 9,480,960,368.32
  5. Step 5: Solve for x
    x = 9,480,960,368.32/125,311.32
  6. Step 6: Final answer
    x = 75,659.25

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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.