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Finding the Fourth Proportional to 213,193.40, 319,731.60 and 80,063.60

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Solution

The fourth proportional to 213,193.40, 319,731.60 and 80,063.60 is: 120,073.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,193.40 : 319,731.60 = 80,063.60 : x
  2. Step 2: Convert to fraction form
    213,193.40/319,731.60 = 80,063.60/x
  3. Step 3: Cross multiply
    213,193.40x = 319,731.60 × 80,063.60
  4. Step 4: Simplify right side
    213,193.40x = 25,598,862,929.76
  5. Step 5: Solve for x
    x = 25,598,862,929.76/213,193.40
  6. Step 6: Final answer
    x = 120,073.43

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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.