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Finding the Fourth Proportional to 212,215.68, 318,729.60 and 133,488

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Solution

The fourth proportional to 212,215.68, 318,729.60 and 133,488 is: 200,487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,215.68 : 318,729.60 = 133,488 : x
  2. Step 2: Convert to fraction form
    212,215.68/318,729.60 = 133,488/x
  3. Step 3: Cross multiply
    212,215.68x = 318,729.60 × 133,488
  4. Step 4: Simplify right side
    212,215.68x = 42,546,576,844.80
  5. Step 5: Solve for x
    x = 42,546,576,844.80/212,215.68
  6. Step 6: Final answer
    x = 200,487.43

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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.