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Finding the Fourth Proportional to 212,710.20, 319,065.30 and 133,978.20

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Solution

The fourth proportional to 212,710.20, 319,065.30 and 133,978.20 is: 200,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,710.20 : 319,065.30 = 133,978.20 : x
  2. Step 2: Convert to fraction form
    212,710.20/319,065.30 = 133,978.20/x
  3. Step 3: Cross multiply
    212,710.20x = 319,065.30 × 133,978.20
  4. Step 4: Simplify right side
    212,710.20x = 42,747,794,576.46
  5. Step 5: Solve for x
    x = 42,747,794,576.46/212,710.20
  6. Step 6: Final answer
    x = 200,967.30

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1.5x scale

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.