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Finding the Fourth Proportional to 125,728.88, 188,581.88 and 75,471.44

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Solution

The fourth proportional to 125,728.88, 188,581.88 and 75,471.44 is: 113,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,728.88 : 188,581.88 = 75,471.44 : x
  2. Step 2: Convert to fraction form
    125,728.88/188,581.88 = 75,471.44/x
  3. Step 3: Cross multiply
    125,728.88x = 188,581.88 × 75,471.44
  4. Step 4: Simplify right side
    125,728.88x = 14,232,546,041.51
  5. Step 5: Solve for x
    x = 14,232,546,041.51/125,728.88
  6. Step 6: Final answer
    x = 113,200.29

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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.