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Finding the Fourth Proportional to 193,714.40, 290,467.60 and 69,039.20

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Solution

The fourth proportional to 193,714.40, 290,467.60 and 69,039.20 is: 103,521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,714.40 : 290,467.60 = 69,039.20 : x
  2. Step 2: Convert to fraction form
    193,714.40/290,467.60 = 69,039.20/x
  3. Step 3: Cross multiply
    193,714.40x = 290,467.60 × 69,039.20
  4. Step 4: Simplify right side
    193,714.40x = 20,053,650,729.92
  5. Step 5: Solve for x
    x = 20,053,650,729.92/193,714.40
  6. Step 6: Final answer
    x = 103,521.73

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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.