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Finding the Fourth Proportional to 125,490, 188,229.60 and 31,992.96

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Solution

The fourth proportional to 125,490, 188,229.60 and 31,992.96 is: 47,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,490 : 188,229.60 = 31,992.96 : x
  2. Step 2: Convert to fraction form
    125,490/188,229.60 = 31,992.96/x
  3. Step 3: Cross multiply
    125,490x = 188,229.60 × 31,992.96
  4. Step 4: Simplify right side
    125,490x = 6,022,022,063.62
  5. Step 5: Solve for x
    x = 6,022,022,063.62/125,490
  6. Step 6: Final answer
    x = 47,988.06

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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.