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Finding the Fourth Proportional to 212,767.20, 319,129.20 and 72,523.80

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Solution

The fourth proportional to 212,767.20, 319,129.20 and 72,523.80 is: 108,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,767.20 : 319,129.20 = 72,523.80 : x
  2. Step 2: Convert to fraction form
    212,767.20/319,129.20 = 72,523.80/x
  3. Step 3: Cross multiply
    212,767.20x = 319,129.20 × 72,523.80
  4. Step 4: Simplify right side
    212,767.20x = 23,144,462,274.96
  5. Step 5: Solve for x
    x = 23,144,462,274.96/212,767.20
  6. Step 6: Final answer
    x = 108,778.34

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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.