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Finding the Fourth Proportional to 125,820.21, 188,743.41 and 40,409.49

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Solution

The fourth proportional to 125,820.21, 188,743.41 and 40,409.49 is: 60,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,820.21 : 188,743.41 = 40,409.49 : x
  2. Step 2: Convert to fraction form
    125,820.21/188,743.41 = 40,409.49/x
  3. Step 3: Cross multiply
    125,820.21x = 188,743.41 × 40,409.49
  4. Step 4: Simplify right side
    125,820.21x = 7,627,024,938.96
  5. Step 5: Solve for x
    x = 7,627,024,938.96/125,820.21
  6. Step 6: Final answer
    x = 60,618.44

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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.