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Finding the Fourth Proportional to 213,558.53, 320,340.90 and 55,787

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Solution

The fourth proportional to 213,558.53, 320,340.90 and 55,787 is: 83,681.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,558.53 : 320,340.90 = 55,787 : x
  2. Step 2: Convert to fraction form
    213,558.53/320,340.90 = 55,787/x
  3. Step 3: Cross multiply
    213,558.53x = 320,340.90 × 55,787
  4. Step 4: Simplify right side
    213,558.53x = 17,870,857,788.30
  5. Step 5: Solve for x
    x = 17,870,857,788.30/213,558.53
  6. Step 6: Final answer
    x = 83,681.31

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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.