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Finding the Fourth Proportional to 213,159.02, 319,680.20 and 80,029.04

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Solution

The fourth proportional to 213,159.02, 319,680.20 and 80,029.04 is: 120,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,159.02 : 319,680.20 = 80,029.04 : x
  2. Step 2: Convert to fraction form
    213,159.02/319,680.20 = 80,029.04/x
  3. Step 3: Cross multiply
    213,159.02x = 319,680.20 × 80,029.04
  4. Step 4: Simplify right side
    213,159.02x = 25,583,699,513.01
  5. Step 5: Solve for x
    x = 25,583,699,513.01/213,159.02
  6. Step 6: Final answer
    x = 120,021.66

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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.