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Finding the Fourth Proportional to 213,644.94, 320,368.60 and 78,674.92

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Solution

The fourth proportional to 213,644.94, 320,368.60 and 78,674.92 is: 117,976.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,644.94 : 320,368.60 = 78,674.92 : x
  2. Step 2: Convert to fraction form
    213,644.94/320,368.60 = 78,674.92/x
  3. Step 3: Cross multiply
    213,644.94x = 320,368.60 × 78,674.92
  4. Step 4: Simplify right side
    213,644.94x = 25,204,975,075.01
  5. Step 5: Solve for x
    x = 25,204,975,075.01/213,644.94
  6. Step 6: Final answer
    x = 117,976.00

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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.