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Finding the Fourth Proportional to 212,838.94, 319,220.14 and 55,057.83

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Solution

The fourth proportional to 212,838.94, 319,220.14 and 55,057.83 is: 82,576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,838.94 : 319,220.14 = 55,057.83 : x
  2. Step 2: Convert to fraction form
    212,838.94/319,220.14 = 55,057.83/x
  3. Step 3: Cross multiply
    212,838.94x = 319,220.14 × 55,057.83
  4. Step 4: Simplify right side
    212,838.94x = 17,575,566,969.21
  5. Step 5: Solve for x
    x = 17,575,566,969.21/212,838.94
  6. Step 6: Final answer
    x = 82,576.84

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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.