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Finding the Fourth Proportional to 213,041.48, 319,987.80 and 133,221.44

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Solution

The fourth proportional to 213,041.48, 319,987.80 and 133,221.44 is: 200,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,041.48 : 319,987.80 = 133,221.44 : x
  2. Step 2: Convert to fraction form
    213,041.48/319,987.80 = 133,221.44/x
  3. Step 3: Cross multiply
    213,041.48x = 319,987.80 × 133,221.44
  4. Step 4: Simplify right side
    213,041.48x = 42,629,236,298.40
  5. Step 5: Solve for x
    x = 42,629,236,298.40/213,041.48
  6. Step 6: Final answer
    x = 200,098.30

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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.