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Finding the Fourth Proportional to 213,076.40, 319,614.60 and 133,761.20

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Solution

The fourth proportional to 213,076.40, 319,614.60 and 133,761.20 is: 200,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,076.40 : 319,614.60 = 133,761.20 : x
  2. Step 2: Convert to fraction form
    213,076.40/319,614.60 = 133,761.20/x
  3. Step 3: Cross multiply
    213,076.40x = 319,614.60 × 133,761.20
  4. Step 4: Simplify right side
    213,076.40x = 42,752,032,433.52
  5. Step 5: Solve for x
    x = 42,752,032,433.52/213,076.40
  6. Step 6: Final answer
    x = 200,641.80

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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.