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Finding the Fourth Proportional to 213,078.40, 319,617.60 and 133,763.20

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Solution

The fourth proportional to 213,078.40, 319,617.60 and 133,763.20 is: 200,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,078.40 : 319,617.60 = 133,763.20 : x
  2. Step 2: Convert to fraction form
    213,078.40/319,617.60 = 133,763.20/x
  3. Step 3: Cross multiply
    213,078.40x = 319,617.60 × 133,763.20
  4. Step 4: Simplify right side
    213,078.40x = 42,753,072,952.32
  5. Step 5: Solve for x
    x = 42,753,072,952.32/213,078.40
  6. Step 6: Final answer
    x = 200,644.80

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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.