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Finding the Fourth Proportional to 212,843.38, 319,315.17 and 63,084.91

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Solution

The fourth proportional to 212,843.38, 319,315.17 and 63,084.91 is: 94,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,843.38 : 319,315.17 = 63,084.91 : x
  2. Step 2: Convert to fraction form
    212,843.38/319,315.17 = 63,084.91/x
  3. Step 3: Cross multiply
    212,843.38x = 319,315.17 × 63,084.91
  4. Step 4: Simplify right side
    212,843.38x = 20,143,968,761.08
  5. Step 5: Solve for x
    x = 20,143,968,761.08/212,843.38
  6. Step 6: Final answer
    x = 94,642.21

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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.