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Finding the Fourth Proportional to 212,915.20, 319,351.20 and 72,671.80

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Solution

The fourth proportional to 212,915.20, 319,351.20 and 72,671.80 is: 109,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,915.20 : 319,351.20 = 72,671.80 : x
  2. Step 2: Convert to fraction form
    212,915.20/319,351.20 = 72,671.80/x
  3. Step 3: Cross multiply
    212,915.20x = 319,351.20 × 72,671.80
  4. Step 4: Simplify right side
    212,915.20x = 23,207,826,536.16
  5. Step 5: Solve for x
    x = 23,207,826,536.16/212,915.20
  6. Step 6: Final answer
    x = 109,000.33

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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.