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Finding the Fourth Proportional to 125,824.10, 188,408.10 and 81,209.30

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Solution

The fourth proportional to 125,824.10, 188,408.10 and 81,209.30 is: 121,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,824.10 : 188,408.10 = 81,209.30 : x
  2. Step 2: Convert to fraction form
    125,824.10/188,408.10 = 81,209.30/x
  3. Step 3: Cross multiply
    125,824.10x = 188,408.10 × 81,209.30
  4. Step 4: Simplify right side
    125,824.10x = 15,300,489,915.33
  5. Step 5: Solve for x
    x = 15,300,489,915.33/125,824.10
  6. Step 6: Final answer
    x = 121,602.22

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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.