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Finding the Fourth Proportional to 212,843.70, 319,265.55 and 124,197.30

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Solution

The fourth proportional to 212,843.70, 319,265.55 and 124,197.30 is: 186,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,843.70 : 319,265.55 = 124,197.30 : x
  2. Step 2: Convert to fraction form
    212,843.70/319,265.55 = 124,197.30/x
  3. Step 3: Cross multiply
    212,843.70x = 319,265.55 × 124,197.30
  4. Step 4: Simplify right side
    212,843.70x = 39,651,919,293.02
  5. Step 5: Solve for x
    x = 39,651,919,293.02/212,843.70
  6. Step 6: Final answer
    x = 186,295.95

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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.