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Finding the Fourth Proportional to 235,612.20, 353,288.70 and 102,469.80

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Solution

The fourth proportional to 235,612.20, 353,288.70 and 102,469.80 is: 153,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,612.20 : 353,288.70 = 102,469.80 : x
  2. Step 2: Convert to fraction form
    235,612.20/353,288.70 = 102,469.80/x
  3. Step 3: Cross multiply
    235,612.20x = 353,288.70 × 102,469.80
  4. Step 4: Simplify right side
    235,612.20x = 36,201,422,431.26
  5. Step 5: Solve for x
    x = 36,201,422,431.26/235,612.20
  6. Step 6: Final answer
    x = 153,648.34

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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.