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Finding the Fourth Proportional to 212,718.88, 319,079.36 and 54,936.40

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Solution

The fourth proportional to 212,718.88, 319,079.36 and 54,936.40 is: 82,404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,718.88 : 319,079.36 = 54,936.40 : x
  2. Step 2: Convert to fraction form
    212,718.88/319,079.36 = 54,936.40/x
  3. Step 3: Cross multiply
    212,718.88x = 319,079.36 × 54,936.40
  4. Step 4: Simplify right side
    212,718.88x = 17,529,071,352.70
  5. Step 5: Solve for x
    x = 17,529,071,352.70/212,718.88
  6. Step 6: Final answer
    x = 82,404.87

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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.