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Finding the Fourth Proportional to 220,269.66, 329,978.43 and 131,594.10

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Solution

The fourth proportional to 220,269.66, 329,978.43 and 131,594.10 is: 197,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,269.66 : 329,978.43 = 131,594.10 : x
  2. Step 2: Convert to fraction form
    220,269.66/329,978.43 = 131,594.10/x
  3. Step 3: Cross multiply
    220,269.66x = 329,978.43 × 131,594.10
  4. Step 4: Simplify right side
    220,269.66x = 43,423,214,515.26
  5. Step 5: Solve for x
    x = 43,423,214,515.26/220,269.66
  6. Step 6: Final answer
    x = 197,136.61

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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.