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Finding the Fourth Proportional to 212,859.42, 319,289.12 and 55,087.41

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Solution

The fourth proportional to 212,859.42, 319,289.12 and 55,087.41 is: 82,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,859.42 : 319,289.12 = 55,087.41 : x
  2. Step 2: Convert to fraction form
    212,859.42/319,289.12 = 55,087.41/x
  3. Step 3: Cross multiply
    212,859.42x = 319,289.12 × 55,087.41
  4. Step 4: Simplify right side
    212,859.42x = 17,588,810,661.98
  5. Step 5: Solve for x
    x = 17,588,810,661.98/212,859.42
  6. Step 6: Final answer
    x = 82,631.11

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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.