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Finding the Fourth Proportional to 213,149.34, 319,768.02 and 80,029.08

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Solution

The fourth proportional to 213,149.34, 319,768.02 and 80,029.08 is: 120,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,149.34 : 319,768.02 = 80,029.08 : x
  2. Step 2: Convert to fraction form
    213,149.34/319,768.02 = 80,029.08/x
  3. Step 3: Cross multiply
    213,149.34x = 319,768.02 × 80,029.08
  4. Step 4: Simplify right side
    213,149.34x = 25,590,740,454.02
  5. Step 5: Solve for x
    x = 25,590,740,454.02/213,149.34
  6. Step 6: Final answer
    x = 120,060.14

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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.