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Finding the Fourth Proportional to 212,852.46, 319,311.48 and 72,578.28

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Solution

The fourth proportional to 212,852.46, 319,311.48 and 72,578.28 is: 108,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,852.46 : 319,311.48 = 72,578.28 : x
  2. Step 2: Convert to fraction form
    212,852.46/319,311.48 = 72,578.28/x
  3. Step 3: Cross multiply
    212,852.46x = 319,311.48 × 72,578.28
  4. Step 4: Simplify right side
    212,852.46x = 23,175,078,002.65
  5. Step 5: Solve for x
    x = 23,175,078,002.65/212,852.46
  6. Step 6: Final answer
    x = 108,878.60

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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.