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Finding the Fourth Proportional to 213,848.40, 320,849.40 and 89,227.60

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Solution

The fourth proportional to 213,848.40, 320,849.40 and 89,227.60 is: 133,873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,848.40 : 320,849.40 = 89,227.60 : x
  2. Step 2: Convert to fraction form
    213,848.40/320,849.40 = 89,227.60/x
  3. Step 3: Cross multiply
    213,848.40x = 320,849.40 × 89,227.60
  4. Step 4: Simplify right side
    213,848.40x = 28,628,621,923.44
  5. Step 5: Solve for x
    x = 28,628,621,923.44/213,848.40
  6. Step 6: Final answer
    x = 133,873.44

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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.